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Algebra I Lesson #3 Unit 10Class Worksheet #3
For Worksheets #4 - #6
Algebra I Multiplying Monomials
Algebra I Multiplying Monomials
Monomial:
Algebra I Multiplying Monomials
Monomial: a polynomial
Algebra I Multiplying Monomials
Monomial: a polynomial with one term.
Algebra I Multiplying Monomials
Monomial: a polynomial with one term.Here are some examples.
Algebra I Multiplying Monomials
Monomial: a polynomial with one term.Here are some examples.
5x
Algebra I Multiplying Monomials
Monomial: a polynomial with one term.Here are some examples.
5x -3y
Algebra I Multiplying Monomials
Monomial: a polynomial with one term.Here are some examples.
5x -3y x
Algebra I Multiplying Monomials
Monomial: a polynomial with one term.Here are some examples.
5x -3y x 2
Algebra I Multiplying Monomials
Monomial: a polynomial with one term.Here are some examples.
5x -3y x 2 x4
Algebra I Multiplying Monomials
Monomial: a polynomial with one term.Here are some examples.
5x -3y x 2 x4
8xy
Algebra I Multiplying Monomials
Monomial: a polynomial with one term.Here are some examples.
5x -3y x 2 x4
8xy -7ac
Algebra I Multiplying Monomials
Monomial: a polynomial with one term.Here are some examples.
5x -3y x 2 x4
8xy -7ac 15x3
Algebra I Multiplying Monomials
Monomial: a polynomial with one term.Here are some examples.
5x -3y x 2 x4
8xy -7ac 15x3 -7
Algebra I Multiplying Monomials
Monomial: a polynomial with one term.Here are some examples.
5x -3y x 2 x4
8xy -7ac 15x3 -7 12x3y2z
Algebra I Multiplying MonomialsMultiplying Powers of x
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____
(x3)(x4) =
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____
(x3)(x4) = (x⋅x⋅x)
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____
(x3)(x4) = (x⋅x⋅x)(x⋅x⋅x⋅x)
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____
(x3)(x4) = (x⋅x⋅x)(x⋅x⋅x⋅x)
(x3)(x4) =
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____
(x3)(x4) = (x⋅x⋅x)(x⋅x⋅x⋅x)
(x3)(x4) = x⋅x⋅x⋅x⋅x⋅x⋅x
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
(x3)(x4) = (x⋅x⋅x)(x⋅x⋅x⋅x)
(x3)(x4) = x⋅x⋅x⋅x⋅x⋅x⋅x
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____
(x2)(x6) =
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____
(x2)(x6) = (x⋅x)
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____
(x2)(x6) = (x⋅x)(x⋅x⋅x⋅x⋅x⋅x)
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____
(x2)(x6) = (x⋅x)(x⋅x⋅x⋅x⋅x⋅x)
(x2)(x6) =
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____
(x2)(x6) = (x⋅x)(x⋅x⋅x⋅x⋅x⋅x)
(x2)(x6) = x⋅x⋅x⋅x⋅x⋅x⋅x⋅x
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
(x2)(x6) = (x⋅x)(x⋅x⋅x⋅x⋅x⋅x)
(x2)(x6) = x⋅x⋅x⋅x⋅x⋅x⋅x⋅x
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____
(x5)(x5) =
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____
(x5)(x5) = (x⋅x⋅x⋅x⋅x)
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____
(x5)(x5) = (x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____
(x5)(x5) = (x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)
(x5)(x5) =
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____
(x5)(x5) = (x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)
(x5)(x5) = x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
(x5)(x5) = (x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)
(x5)(x5) = x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x)(x3) = ____
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x)(x3) = ____(x1)(x3) =
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x)(x3) = ____(x1)(x3) = (x)
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x)(x3) = ____(x1)(x3) = (x)(x⋅x⋅x)
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x)(x3) = ____(x1)(x3) = (x)(x⋅x⋅x)(x1)(x3) =
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x)(x3) = ____(x1)(x3) = (x)(x⋅x⋅x)(x1)(x3) = x⋅x⋅x⋅x
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x)(x3) = ____x4
(x1)(x3) = (x)(x⋅x⋅x)(x1)(x3) = x⋅x⋅x⋅x
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x1)(x3) = ____x4
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x1)(x3) = ____x4
Rule:
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x1)(x3) = ____x4
When multiplying two powers of x,
Rule:
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x1)(x3) = ____x4
When multiplying two powers of x, you just add the exponents.
Rule:
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x1)(x3) = ____x4
When multiplying two powers of x, you just add the exponents.
Rule:
(xa)
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x1)(x3) = ____x4
When multiplying two powers of x, you just add the exponents.
Rule:
(xa)(xb)
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x1)(x3) = ____x4
When multiplying two powers of x, you just add the exponents.
Rule:
(xa)(xb) =
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x1)(x3) = ____x4
When multiplying two powers of x, you just add the exponents.
Rule:
(xa)(xb) = x
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x1)(x3) = ____x4
When multiplying two powers of x, you just add the exponents.
Rule:
(xa)(xb) = x(a
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x1)(x3) = ____x4
When multiplying two powers of x, you just add the exponents.
Rule:
(xa)(xb) = x(a+
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x1)(x3) = ____x4
When multiplying two powers of x, you just add the exponents.
Rule:
(xa)(xb) = x(a+b)
Algebra I Multiplying MonomialsMultiplying Powers of x
1. (x3)(x4) = ____x7
2. (x2)(x6) = ____x8
3. (x5)(x5) = ____x10
4. (x1)(x3) = ____x4
When multiplying two powers of x, you just add the exponents.
Rule:
(xa)(xb) = x(a+b)
Algebra I Multiplying Monomials
Consider the following examples.
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
Just rearrange the factors !!!
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
Just rearrange the factors !!!
(3x)(5) =
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
Just rearrange the factors !!!
(3x)(5) = 3⋅x
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
Just rearrange the factors !!!
(3x)(5) = 3⋅x⋅5
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
Just rearrange the factors !!!
(3x)(5) = 3⋅x⋅5(3x)(5) =
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
Just rearrange the factors !!!
(3x)(5) = 3⋅x⋅5(3x)(5) = 3⋅5⋅x
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
Just rearrange the factors !!!
(3x)(5) = 3⋅x⋅5(3x)(5) = 3⋅5⋅x
15
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
Just rearrange the factors !!!
(3x)(5) = 3⋅x⋅5(3x)(5) = 3⋅5⋅x
15x
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____15x
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
15x
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
15x
Just rearrange the factors !!!
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
15x
Just rearrange the factors !!!
(2x)(4x) =
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
15x
Just rearrange the factors !!!
(2x)(4x) = 2⋅x
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
15x
Just rearrange the factors !!!
(2x)(4x) = 2⋅x⋅4⋅x
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
15x
Just rearrange the factors !!!
(2x)(4x) = 2⋅x⋅4⋅x(2x)(4x) =
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
15x
Just rearrange the factors !!!
(2x)(4x) = 2⋅x⋅4⋅x(2x)(4x) = 2⋅4
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
15x
Just rearrange the factors !!!
(2x)(4x) = 2⋅x⋅4⋅x(2x)(4x) = 2⋅4⋅x⋅x
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
15x
8
Just rearrange the factors !!!
(2x)(4x) = 2⋅x⋅4⋅x(2x)(4x) = 2⋅4⋅x⋅x
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
15x
8x2
Just rearrange the factors !!!
(2x)(4x) = 2⋅x⋅4⋅x(2x)(4x) = 2⋅4⋅x⋅x
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
15x
8x2
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
15x
8x2
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
15x
8x2
Just rearrange the factors !!!
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
15x
8x2
Just rearrange the factors !!!
(5x2)(-8x3) =
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
15x
8x2
Just rearrange the factors !!!
(5x2)(-8x3) = 5⋅x2
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
15x
8x2
Just rearrange the factors !!!
(5x2)(-8x3) = 5⋅x2⋅(-8)⋅x3
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
15x
8x2
Just rearrange the factors !!!
(5x2)(-8x3) = 5⋅x2⋅(-8)⋅x3
(5x2)(-8x3) =
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
15x
8x2
Just rearrange the factors !!!
(5x2)(-8x3) = 5⋅x2⋅(-8)⋅x3
(5x2)(-8x3) = 5⋅(-8)
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
15x
8x2
Just rearrange the factors !!!
(5x2)(-8x3) = 5⋅x2⋅(-8)⋅x3
(5x2)(-8x3) = 5⋅(-8)⋅x2⋅x3
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
15x
8x2
-40
Just rearrange the factors !!!
(5x2)(-8x3) = 5⋅x2⋅(-8)⋅x3
(5x2)(-8x3) = 5⋅(-8)⋅x2⋅x3
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
15x
8x2
-40x5
Just rearrange the factors !!!
(5x2)(-8x3) = 5⋅x2⋅(-8)⋅x3
(5x2)(-8x3) = 5⋅(-8)⋅x2⋅x3
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
15x
8x2
-40x5
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
Just rearrange the factors !!!
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
(-8x2y)(-3xy2) =
Just rearrange the factors !!!
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
(-8x2y)(-3xy2) = (-8)⋅x2⋅y
Just rearrange the factors !!!
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
(-8x2y)(-3xy2) = (-8)⋅x2⋅y⋅(-3)⋅x⋅y2
Just rearrange the factors !!!
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
(-8x2y)(-3xy2) = (-8)⋅x2⋅y⋅(-3)⋅x⋅y2
(-8x2y)(-3xy2) =
Just rearrange the factors !!!
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
(-8x2y)(-3xy2) = (-8)⋅x2⋅y⋅(-3)⋅x⋅y2
(-8x2y)(-3xy2) = (-8)⋅(-3)
Just rearrange the factors !!!
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
(-8x2y)(-3xy2) = (-8)⋅x2⋅y⋅(-3)⋅x⋅y2
(-8x2y)(-3xy2) = (-8)⋅(-3)⋅x2⋅x
Just rearrange the factors !!!
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
(-8x2y)(-3xy2) = (-8)⋅x2⋅y⋅(-3)⋅x⋅y2
(-8x2y)(-3xy2) = (-8)⋅(-3)⋅x2⋅x⋅y⋅y2
Just rearrange the factors !!!
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24(-8x2y)(-3xy2) = (-8)⋅x2⋅y⋅(-3)⋅x⋅y2
(-8x2y)(-3xy2) = (-8)⋅(-3)⋅x2⋅x⋅y⋅y2
Just rearrange the factors !!!
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3
Just rearrange the factors !!!
(-8x2y)(-3xy2) = (-8)⋅x2⋅y⋅(-3)⋅x⋅y2
(-8x2y)(-3xy2) = (-8)⋅(-3)⋅x2⋅x⋅y⋅y2
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
Just rearrange the factors !!!
(-8x2y)(-3xy2) = (-8)⋅x2⋅y⋅(-3)⋅x⋅y2
(-8x2y)(-3xy2) = (-8)⋅(-3)⋅x2⋅x⋅y⋅y2
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
9. (-x5)(2x3) = ____
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
Just rearrange the factors !!!
9. (-x5)(2x3) = ____
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
Just rearrange the factors !!!
9. (-x5)(2x3) = ____(-1x5)(2x3) =
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
Just rearrange the factors !!!
9. (-x5)(2x3) = ____(-1x5)(2x3) = (-1)⋅x5
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
Just rearrange the factors !!!
9. (-x5)(2x3) = ____(-1x5)(2x3) = (-1)⋅x5⋅2⋅x3
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
Just rearrange the factors !!!
9. (-x5)(2x3) = ____(-1x5)(2x3) = (-1)⋅x5⋅2⋅x3
(-1x5)(2x3) =
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
Just rearrange the factors !!!
9. (-x5)(2x3) = ____(-1x5)(2x3) = (-1)⋅x5⋅2⋅x3
(-1x5)(2x3) = (-1)⋅2
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
Just rearrange the factors !!!
9. (-x5)(2x3) = ____(-1x5)(2x3) = (-1)⋅x5⋅2⋅x3
(-1x5)(2x3) = (-1)⋅2⋅x5⋅x3
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
Just rearrange the factors !!!
9. (-x5)(2x3) = ____-2(-1x5)(2x3) = (-1)⋅x5⋅2⋅x3
(-1x5)(2x3) = (-1)⋅2⋅x5⋅x3
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
Just rearrange the factors !!!
9. (-x5)(2x3) = ____-2x8
(-1x5)(2x3) = (-1)⋅x5⋅2⋅x3
(-1x5)(2x3) = (-1)⋅2⋅x5⋅x3
Algebra I Multiplying Monomials
Consider the following examples.
5. (3x)(5) = ____
6. (2x)(4x) = ____
7. (5x2)(-8x3) = ____
8. (-8x2y)(-3xy2) = ____
15x
8x2
-40x5
24x3y3
9. (-x5)(2x3) = ____-2x8
Algebra I Multiplying Monomials
Algebra I Multiplying MonomialsPowers of Monomials
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____
(x2)3 =
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____
(x2)3 = x2⋅x2⋅x2
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____
(x2)3 = x2⋅x2⋅x2
(x2)3 =
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____
(x2)3 = x2⋅x2⋅x2
(x2)3 = (x⋅x)(x⋅x)(x⋅x)
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____
(x2)3 = x2⋅x2⋅x2
(x2)3 = (x⋅x)(x⋅x)(x⋅x)
(x2)3 =
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____
(x2)3 = x2⋅x2⋅x2
(x2)3 = (x⋅x)(x⋅x)(x⋅x)
(x2)3 = x⋅x⋅x⋅x⋅x⋅x
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____
(x2)3 = x2⋅x2⋅x2
(x2)3 = (x⋅x)(x⋅x)(x⋅x)
(x2)3 = x⋅x⋅x⋅x⋅x⋅x
x6
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____
(x2)4 =
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____
(x2)4 = x2⋅x2⋅x2⋅x2
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____
(x2)4 = x2⋅x2⋅x2⋅x2
(x2)4 =
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____
(x2)4 = x2⋅x2⋅x2⋅x2
(x2)4 = (x⋅x)(x⋅x)(x⋅x)(x⋅x)
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____
(x2)4 = x2⋅x2⋅x2⋅x2
(x2)4 = (x⋅x)(x⋅x)(x⋅x)(x⋅x)
(x2)4 =
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____
(x2)4 = x2⋅x2⋅x2⋅x2
(x2)4 = (x⋅x)(x⋅x)(x⋅x)(x⋅x)
(x2)4 = x⋅x⋅x⋅x⋅x⋅x⋅x⋅x
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
(x2)4 = x2⋅x2⋅x2⋅x2
(x2)4 = (x⋅x)(x⋅x)(x⋅x)(x⋅x)
(x2)4 = x⋅x⋅x⋅x⋅x⋅x⋅x⋅x
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____
(x3)3 =
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____
(x3)3 = x3⋅x3⋅x3
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____
(x3)3 = x3⋅x3⋅x3
(x3)3 =
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____
(x3)3 = x3⋅x3⋅x3
(x3)3 = (x⋅x⋅x)(x⋅x⋅x)(x⋅x⋅x)
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____
(x3)3 = x3⋅x3⋅x3
(x3)3 = (x⋅x⋅x)(x⋅x⋅x)(x⋅x⋅x)
(x3)3 =
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____
(x3)3 = x3⋅x3⋅x3
(x3)3 = (x⋅x⋅x)(x⋅x⋅x)(x⋅x⋅x)
(x3)3 = x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
(x3)3 = x3⋅x3⋅x3
(x3)3 = (x⋅x⋅x)(x⋅x⋅x)(x⋅x⋅x)
(x3)3 = x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
(x5)6 =
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
(x5)6 = x5⋅x5⋅x5⋅x5⋅x5⋅x5
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
(x5)6 = x5⋅x5⋅x5⋅x5⋅x5⋅x5
(x5)6 =
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
(x5)6 = x5⋅x5⋅x5⋅x5⋅x5⋅x5
(x5)6 = (x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)(x⋅x⋅x
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
(x5)6 = x5⋅x5⋅x5⋅x5⋅x5⋅x5
(x5)6 = (x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)(x⋅x⋅x
We have a problem !!!
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
(x5)6 = x5⋅x5⋅x5⋅x5⋅x5⋅x5
(x5)6 = (x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)(x⋅x⋅x⋅x⋅x)(x⋅x⋅x
We need a rule !!!
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
Rule:
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
When a power of xRule:
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
When a power of x is raised to another power,
Rule:
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
When a power of x is raised to another power, you just multiply the exponents.
Rule:
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
When a power of x is raised to another power, you just multiply the exponents.
Rule:
(xa)b =
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
When a power of x is raised to another power, you just multiply the exponents.
Rule:
(xa)b = xab
Algebra I Multiplying MonomialsPowers of Monomials
1. (x2)3 = ____x6
2. (x2)4 = ____x8
3. (x3)3 = ____x9
4. (x5)6 = ____
When a power of x is raised to another power, you just multiply the exponents.
Rule:
(xa)b = xabx30
Algebra I Multiplying MonomialsPowers of Monomials
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 =
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 =
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 =
Rearrange the factors !!!
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
Rearrange the factors !!!
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 =
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅x3
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅x3
Take another look.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅x3
Notice that every factor inside the parenthesis
Take another look.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅x3
Notice that every factor inside the parenthesis
Take another look.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅x3
Notice that every factor inside the parenthesis
Take another look.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅x3
Notice that every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Take another look.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅x3
Take another look.
Notice that every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 =
Take another look.
Notice that every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 2
Take another look.
Notice that every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23
Take another look.
Notice that every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅
Take another look.
Notice that every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅x
Take another look.
Notice that every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅x3
Take another look.
Notice that every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅x3
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅x3
8
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(2x)3 = (2x)(2x)(2x)
(2x)3 = (2⋅2⋅2)(x⋅x⋅x)
(2x)3 = 23⋅x3
8x3
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____8x3
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____8x3
6. (5x)2 = ____
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 =
8x3
6. (5x)2 = ____
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 =
8x3
6. (5x)2 = ____
Every factor inside the parenthesis
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 =
8x3
6. (5x)2 = ____
Every factor inside the parenthesis
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 =
8x3
6. (5x)2 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 =
8x3
6. (5x)2 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 =
8x3
6. (5x)2 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 = 5
8x3
6. (5x)2 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 = 52
8x3
6. (5x)2 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 = 52⋅
8x3
6. (5x)2 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 = 52⋅x
8x3
6. (5x)2 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 = 52⋅x2
8x3
6. (5x)2 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 = 52⋅x2
8x3
6. (5x)2 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 = 52⋅x2
8x3
6. (5x)2 = ____25
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(5x)2 = 52⋅x2
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____8x3
6. (5x)2 = ____25x2
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____8x3
6. (5x)2 = ____25x2
7. (3xy)4 = ____
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 =
8x3
6. (5x)2 = ____25x2
7. (3xy)4 = ____
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 =
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
7. (3xy)4 = ____
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 = 3
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
7. (3xy)4 = ____
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 = 34
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
7. (3xy)4 = ____
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 = 34
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
7. (3xy)4 = ____81
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 = 34⋅
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
7. (3xy)4 = ____81
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 = 34⋅x
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
7. (3xy)4 = ____81
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 = 34⋅x4
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
7. (3xy)4 = ____81
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 = 34⋅x4
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
7. (3xy)4 = ____81x4
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 = 34⋅x4⋅
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
7. (3xy)4 = ____81x4
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 = 34⋅x4⋅y
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
7. (3xy)4 = ____81x4
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 = 34⋅x4⋅y4
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
7. (3xy)4 = ____81x4
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____
(3xy)4 = 34⋅x4⋅y4
8x3
6. (5x)2 = ____25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
7. (3xy)4 = ____81x4y4
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____8x3
6. (5x)2 = ____25x2
7. (3xy)4 = ____81x4y4
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____8x3
6. (5x)2 = ____25x2
7. (3xy)4 = ____81x4y4
Rule:
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____8x3
6. (5x)2 = ____25x2
7. (3xy)4 = ____81x4y4
Rule: (ab)n =
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____8x3
6. (5x)2 = ____25x2
7. (3xy)4 = ____81x4y4
Rule: (ab)n = an
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____8x3
6. (5x)2 = ____25x2
7. (3xy)4 = ____81x4y4
Rule: (ab)n = an⋅
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
5. (2x)3 = ____8x3
6. (5x)2 = ____25x2
7. (3xy)4 = ____81x4y4
Rule: (ab)n = an⋅bn
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 =
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis
(2x3)4 =
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis
(2x3)4 =
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis
(2x3)4 =
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 =
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 =
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 =
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 = 2
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 = 24
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 = 24
16
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 = 24⋅
16
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 = 24⋅(x3)
16
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 = 24⋅(x3)4
16
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 = 24⋅(x3)4
16
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 = 24⋅(x3)4
16 When a power of x is raised to another power,
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 = 24⋅(x3)4
16 When a power of x is raised to another power, you just multiply the exponents.
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(2x3)4 = 24⋅(x3)4
16x12 When a power of x is raised to another power, you just multiply the exponents.
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 =
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 =
Every factor inside the parenthesis
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 =
Every factor inside the parenthesis
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 =
Every factor inside the parenthesis
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 =
Every factor inside the parenthesis
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 =
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 =
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 =
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
27
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33⋅
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
27
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33⋅ x
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
27
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33⋅ x3
27
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33⋅ x3
27x3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33⋅ x3 ⋅
27x3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33⋅ x3 ⋅ (y2)
27x3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33⋅ x3 ⋅ (y2)3
27x3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
(3xy2)3 = 33⋅ x3 ⋅ (y2)3
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____27x3
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33⋅ x3 ⋅ (y2)3
27x3
When a power of y
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33⋅ x3 ⋅ (y2)3
27x3
When a power of y
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33⋅ x3 ⋅ (y2)3
27x3
When a power of y is raised to another power,
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33⋅ x3 ⋅ (y2)3
27x3
When a power of y is raised to another power,
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____
(3xy2)3 = 33⋅ x3 ⋅ (y2)3
27x3
When a power of y is raised to another power, you just multiply the exponents.
(3xy2)3 = 33⋅ x3 ⋅ (y2)3
Algebra I Multiplying MonomialsPowers of Monomials
8. (2x3)4 = ____
(2x3)4 = 24⋅(x3)4
16x12
9. (3xy2)3 = ____27x3y6
When a power of y is raised to another power, you just multiply the exponents.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 =
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 =
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2
25
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅
25
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)
25
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2
25
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2
25x6
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅
25x6
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)
25x6
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
11. (-2x2y5)3 = _____
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
11. (-2x2y5)3 = _____
(-2x2y5)3 =
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
11. (-2x2y5)3 = _____
(-2x2y5)3 =
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
11. (-2x2y5)3 = _____
(-2x2y5)3 = (-2)
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
11. (-2x2y5)3 = _____
(-2x2y5)3 = (-2)3
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
11. (-2x2y5)3 = _____
(-2x2y5)3 = (-2)3
-8
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
11. (-2x2y5)3 = _____
(-2x2y5)3 = (-2)3 ⋅
-8
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
11. (-2x2y5)3 = _____
(-2x2y5)3 = (-2)3 ⋅ (x2)
-8
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
11. (-2x2y5)3 = _____
(-2x2y5)3 = (-2)3 ⋅ (x2)3
-8
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
11. (-2x2y5)3 = _____
(-2x2y5)3 = (-2)3 ⋅ (x2)3
-8x6
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
11. (-2x2y5)3 = _____
(-2x2y5)3 = (-2)3 ⋅ (x2)3 ⋅
-8x6
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
11. (-2x2y5)3 = _____
(-2x2y5)3 = (-2)3 ⋅ (x2)3 ⋅ (y5)
-8x6
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
11. (-2x2y5)3 = _____
(-2x2y5)3 = (-2)3 ⋅ (x2)3 ⋅ (y5)3
-8x6
Algebra I Multiplying MonomialsPowers of Monomials
10. (-5x3y4)2 = _____
(-5x3y4)2 = (-5)2 ⋅ (x3)2 ⋅ (y4)2
25x6y8
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis.
11. (-2x2y5)3 = _____
(-2x2y5)3 = (-2)3 ⋅ (x2)3 ⋅ (y5)3
-8x6y15
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
x9
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
x9
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
x9
Rule: When multiplying two monomials, you can rearrange the factors.
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
x9
Rule: When multiplying two monomials, you can rearrange the factors.
= (5⋅x)(7⋅x5)
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
x9
Rule: When multiplying two monomials, you can rearrange the factors.
= (5⋅x)(7⋅x5) = (5⋅7)(x⋅x5)
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
x9
Rule: When multiplying two monomials, you can rearrange the factors.
= (5⋅x)(7⋅x5) = (5⋅7)(x⋅x5)
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
x9
35
= (5⋅x)(7⋅x5) = (5⋅7)(x⋅x5)
Rule: When multiplying two monomials, you can rearrange the factors.
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
x9
35
= (5⋅x)(7⋅x5) = (5⋅7)(x⋅x5)
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
x9
35
= (5⋅x)(7⋅x5) = (5⋅7)(x1⋅x5)
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
x9
35
= (5⋅x)(7⋅x5) = (5⋅7)(x1⋅x5)
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= (5⋅x)(7⋅x5) = (5⋅7)(x1⋅x5)
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
x9
35x6
1. (x4)(x5) = ______
2. (5x)(7x5) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
x9
= (5⋅x)(7⋅x5) = (5⋅7)(x1⋅x5)
35x6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
Rule: When multiplying two monomials, you can rearrange the factors.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
Rule: When multiplying two monomials, you can rearrange the factors.
= (-5⋅x3)(-4⋅x2)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
Rule: When multiplying two monomials, you can rearrange the factors.
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
Rule: When multiplying two monomials, you can rearrange the factors.
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
Rule: When multiplying two monomials, you can rearrange the factors.
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
20
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
20
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
20
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
20
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
20x5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
20x5
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
20x5
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
20x5
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
Rule: When multiplying two monomials, you can rearrange the factors.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
20x5
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
= (-1⋅x3)(5⋅x3)
Rule: When multiplying two monomials, you can rearrange the factors.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
20x5
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
Rule: When multiplying two monomials, you can rearrange the factors.
= (-1⋅x3)(5⋅x3) = (-1)(5)(x3⋅x3)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
20x5
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
Rule: When multiplying two monomials, you can rearrange the factors.
= (-1⋅x3)(5⋅x3) = (-1)(5)(x3⋅x3)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
20x5
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
Rule: When multiplying two monomials, you can rearrange the factors.
= (-1⋅x3)(5⋅x3) = (-1)(5)(x3⋅x3)-5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
20x5
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
= (-1⋅x3)(5⋅x3) = (-1)(5)(x3⋅x3)-5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
20x5
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
= (-1⋅x3)(5⋅x3) = (-1)(5)(x3⋅x3)-5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
20x5
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
= (-1⋅x3)(5⋅x3) = (-1)(5)(x3⋅x3)-5
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
20x5
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
= (-1⋅x3)(5⋅x3) = (-1)(5)(x3⋅x3)
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
-5x6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
3. (-5x3)(-4x2) = ______
4. (-x3)(5x3) = ______
20x5
-5x6
= (-5⋅x3)(-4⋅x2) = (-5)(-4)(x3⋅x2)
= (-1⋅x3)(5⋅x3) = (-1)(5)(x3⋅x3)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
Rule: When multiplying two monomials, you can rearrange the factors.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
= (9⋅x)(6⋅x)
Rule: When multiplying two monomials, you can rearrange the factors.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
Rule: When multiplying two monomials, you can rearrange the factors.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
Rule: When multiplying two monomials, you can rearrange the factors.
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54
Rule: When multiplying two monomials, you can rearrange the factors.
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54
Rule: When multiplying two monomials, you can rearrange the factors.
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
Rule: When multiplying two monomials, you can rearrange the factors.
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
Rule: When multiplying two monomials, you can rearrange the factors.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
Rule: When multiplying two monomials, you can rearrange the factors.
= (1⋅x2)(-1⋅x2)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
Rule: When multiplying two monomials, you can rearrange the factors.
= (1⋅x2)(-1⋅x2) = (1)(-1)(x2⋅x2)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
Rule: When multiplying two monomials, you can rearrange the factors.
= (1⋅x2)(-1⋅x2) = (1)(-1)(x2⋅x2)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
-1
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
Rule: When multiplying two monomials, you can rearrange the factors.
= (1⋅x2)(-1⋅x2) = (1)(-1)(x2⋅x2)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
-1
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
= (1⋅x2)(-1⋅x2) = (1)(-1)(x2⋅x2)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
-1
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
= (1⋅x2)(-1⋅x2) = (1)(-1)(x2⋅x2)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
-1
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
= (1⋅x2)(-1⋅x2) = (1)(-1)(x2⋅x2)
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
= (1⋅x2)(-1⋅x2) = (1)(-1)(x2⋅x2)
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
-1x4
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
5. (9x)(6x) = ______
6. (x2)(-x2) = ______
54x2
= (9⋅x)(6⋅x) = (9⋅6)(x⋅x)
= (1⋅x2)(-1⋅x2) = (1)(-1)(x2⋅x2)-x4
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
7. (x4)5 = ______
8. (x2)6 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
7. (x4)5 = ______
8. (x2)6 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
7. (x4)5 = ______
8. (x2)6 = ______
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
7. (x4)5 = ______
8. (x2)6 = ______
x20
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
7. (x4)5 = ______
8. (x2)6 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
x20
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
7. (x4)5 = ______
8. (x2)6 = ______
x20
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
7. (x4)5 = ______
8. (x2)6 = ______
x20
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
7. (x4)5 = ______
8. (x2)6 = ______
x20
x12
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
7. (x4)5 = ______
8. (x2)6 = ______
x20
x12
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
9. (x3)3 = ______
10. (x5)2 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
9. (x3)3 = ______
10. (x5)2 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
9. (x3)3 = ______
10. (x5)2 = ______
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
9. (x3)3 = ______
10. (x5)2 = ______
x9
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
9. (x3)3 = ______
10. (x5)2 = ______
x9
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
9. (x3)3 = ______
10. (x5)2 = ______
x9
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
9. (x3)3 = ______
10. (x5)2 = ______
x9
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
9. (x3)3 = ______
10. (x5)2 = ______
x9
x10
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
9. (x3)3 = ______
10. (x5)2 = ______
x9
x10
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
11. (5x)2 = ______
12. (3x)3 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
11. (5x)2 = ______
12. (3x)3 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
11. (5x)2 = ______
12. (3x)3 = ______
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
11. (5x)2 = ______
12. (3x)3 = ______
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= 52⋅x2
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
11. (5x)2 = ______
12. (3x)3 = ______
25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= 52⋅x2
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
11. (5x)2 = ______
12. (3x)3 = ______
25x2
= 52⋅x2
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
11. (5x)2 = ______
12. (3x)3 = ______
25x2
= 52⋅x2
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
11. (5x)2 = ______
12. (3x)3 = ______
25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= 52⋅x2
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
11. (5x)2 = ______
12. (3x)3 = ______
25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= 52⋅x2
= 33⋅x3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
11. (5x)2 = ______
12. (3x)3 = ______
25x2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= 52⋅x2
= 33⋅x327x3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
11. (5x)2 = ______
12. (3x)3 = ______
25x2
= 52⋅x2
= 33⋅x327x3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
13. (-4x)3 = ______
14. (-3x)4 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
13. (-4x)3 = ______
14. (-3x)4 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
13. (-4x)3 = ______
14. (-3x)4 = ______
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
13. (-4x)3 = ______
14. (-3x)4 = ______
= (-4)3⋅x3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
13. (-4x)3 = ______
14. (-3x)4 = ______
-64x3
= (-4)3⋅x3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
13. (-4x)3 = ______
14. (-3x)4 = ______
-64x3
= (-4)3⋅x3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
13. (-4x)3 = ______
14. (-3x)4 = ______
-64x3
= (-4)3⋅x3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
13. (-4x)3 = ______
14. (-3x)4 = ______
-64x3
= (-4)3⋅x3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
13. (-4x)3 = ______
14. (-3x)4 = ______
-64x3
= (-4)3⋅x3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= (-3)4⋅x4
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
13. (-4x)3 = ______
14. (-3x)4 = ______
-64x3
= (-4)3⋅x3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= (-3)4⋅x4
81x4
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
13. (-4x)3 = ______
14. (-3x)4 = ______
-64x3
81x4
= (-4)3⋅x3
= (-3)4⋅x4
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
= (-1⋅x)5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
= (-1⋅x)5
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
= (-1⋅x)5 = (-1)5⋅x5
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
-1x5
= (-1⋅x)5 = (-1)5⋅x5
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
-x5
= (-1⋅x)5 = (-1)5⋅x5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
= (-1⋅x)5 = (-1)5⋅x5
-x5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
= (-1⋅x)5 = (-1)5⋅x5
= (-1⋅x)8
-x5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
= (-1⋅x)5 = (-1)5⋅x5
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= (-1⋅x)8
-x5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
= (-1⋅x)5 = (-1)5⋅x5
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= (-1⋅x)8 = (-1)8⋅x8
-x5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
= (-1⋅x)5 = (-1)5⋅x5
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= (-1⋅x)8 = (-1)8⋅x8
1x8
-x5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
15. (-x)5 = ______
16. (-x)8 = ______
= (-1⋅x)5 = (-1)5⋅x5
= (-1⋅x)8 = (-1)8⋅x8
x8
-x5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
= 52⋅(x5)2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
= 52⋅(x5)2
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
= 52⋅(x5)2
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25
= 52⋅(x5)2
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25
= 52⋅(x5)2
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25
= 52⋅(x5)2
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
= 52⋅(x5)2
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
25x10
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25x10
= 52⋅(x5)2
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25x10
= 52⋅(x5)2
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25x10
= 52⋅(x5)2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25x10
= 52⋅(x5)2
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= 25⋅(x3)5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25x10
= 52⋅(x5)2
= 25⋅(x3)5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25x10
= 52⋅(x5)2
= 25⋅(x3)5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25x10
= 52⋅(x5)2
= 25⋅(x3)5
32
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25x10
= 52⋅(x5)2
= 25⋅(x3)5
32
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25x10
= 52⋅(x5)2
= 25⋅(x3)5
32
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25x10
= 52⋅(x5)2
= 25⋅(x3)5
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
32x15
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
17. (5x5)2 = ______
18. (2x3)5 = ______
25x10
= 52⋅(x5)2
= 25⋅(x3)5
32x15
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
-27x6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
= 53⋅(x3)3⋅y3⋅(z2)3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
= 53⋅(x3)3⋅y3⋅(z2)3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
= 53⋅(x3)3⋅y3⋅(z2)3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
125= 53⋅(x3)3⋅y3⋅(z2)3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
125= 53⋅(x3)3⋅y3⋅(z2)3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
125= 53⋅(x3)3⋅y3⋅(z2)3
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
= 53⋅(x3)3⋅y3⋅(z2)3
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
125x9
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
= 53⋅(x3)3⋅y3⋅(z2)3
125x9
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
= 53⋅(x3)3⋅y3⋅(z2)3
125x9y3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
= 53⋅(x3)3⋅y3⋅(z2)3
125x9y3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
= 53⋅(x3)3⋅y3⋅(z2)3
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
125x9y3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
= 53⋅(x3)3⋅y3⋅(z2)3
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
125x9y3z6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
19. (-3x2)3 = ______
20. (5x3yz2)3 = _________
= (-3)3⋅(x2)3
-27x6
= 53⋅(x3)3⋅y3⋅(z2)3
125x9y3z6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
= (-2)4⋅(x3)4⋅(y2)4
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
= (-2)4⋅(x3)4⋅(y2)4
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
= (-2)4⋅(x3)4⋅(y2)4
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16
= (-2)4⋅(x3)4⋅(y2)4
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16
= (-2)4⋅(x3)4⋅(y2)4
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16
= (-2)4⋅(x3)4⋅(y2)4
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12
= (-2)4⋅(x3)4⋅(y2)4
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12
= (-2)4⋅(x3)4⋅(y2)4
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
= (-2)4⋅(x3)4⋅(y2)4
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
16x12y8
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
= (-1)5⋅x5⋅(y3)5⋅(z2)5
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
= (-1)5⋅x5⋅(y3)5⋅(z2)5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
= (-1)5⋅x5⋅(y3)5⋅(z2)5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
-1= (-1)5⋅x5⋅(y3)5⋅(z2)5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
-1= (-1)5⋅x5⋅(y3)5⋅(z2)5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
= (-1)5⋅x5⋅(y3)5⋅(z2)5
-1x5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
= (-1)5⋅x5⋅(y3)5⋅(z2)5
-1x5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
= (-1)5⋅x5⋅(y3)5⋅(z2)5
-1x5
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
= (-1)5⋅x5⋅(y3)5⋅(z2)5
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
-1x5y15
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
= (-1)5⋅x5⋅(y3)5⋅(z2)5
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
-1x5y15
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
= (-1)5⋅x5⋅(y3)5⋅(z2)5
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
-1x5y15z10
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
21. (-2x3y2)4 = ________
22. (-xy3z2)5 = ________
16x12y8
= (-2)4⋅(x3)4⋅(y2)4
= (-1)5⋅x5⋅(y3)5⋅(z2)5
-x5y15z10
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
= -1⋅(-2x)6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
= -1⋅(-2x)6 Do this first.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
= -1⋅(-2x)6 Do this first.
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
Do this first.= -1⋅(-2x)6 == -1⋅(-2)6⋅x6
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
= -1⋅(-3x4)3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
Do this first.= -1⋅(-3x4)3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
Do this first.= -1⋅(-3x4)3
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
Do this first.
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= -1⋅(-3x4)3 == -1⋅(-3)3⋅(x4)3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
= -1⋅(-3x4)3 == -1⋅(-3)3⋅(x4)3
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
= -1⋅(-3x4)3 == -1⋅(-3)3⋅(x4)3 == -1
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
= -1⋅(-3x4)3 == -1⋅(-3)3⋅(x4)3 == -1
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
= -1⋅(-3x4)3 == -1⋅(-3)3⋅(x4)3 == -1⋅(-27)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
= -1⋅(-3x4)3 == -1⋅(-3)3⋅(x4)3 == -1⋅(-27)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
= -1⋅(-3x4)3 == -1⋅(-3)3⋅(x4)3 == -1⋅(-27)
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
= -1⋅(-3x4)3 == -1⋅(-3)3⋅(x4)3 == -1⋅(-27)⋅x12
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
= -1⋅(-3x4)3 == -1⋅(-3)3⋅(x4)3 == -1⋅(-27)⋅x12
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
= -1⋅(-3x4)3 == -1⋅(-3)3⋅(x4)3 == -1⋅(-27)⋅x12
27x12
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
23. -(-2x)6 = ______
24. -(-3x4)3 = _______
-64x6
= -1⋅(-2x)6 == -1⋅(-2)6⋅x6 == -1⋅64⋅x6
= -1⋅(-3x4)3 == -1⋅(-3)3⋅(x4)3 == -1⋅(-27)⋅x12
27x12
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= [23⋅(x3)3⋅y3]⋅
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8x9
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8x9
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8x9
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8x9y3]
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8x9y3]
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8x9y3]⋅[9
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8x9y3]⋅[9
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8x9y3]⋅[9
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
= [8x9y3]⋅[9x6
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
= [8x9y3]⋅[9x6
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
= [8x9y3]⋅[9x6y10]
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8x9y3]⋅[9x6y10]
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= [8x9y3]⋅[9x6y10]
Rule: When multiplying two monomials, you can rearrange the factors.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
Rule: When multiplying two monomials, you can rearrange the factors.
= (8⋅9)(x9⋅x6)(y3⋅y10) =
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
7225. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
7225. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
72x1525. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
72x1525. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
72x15y1325. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y1325. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
Algebra I Class Worksheet #3 Unit 10
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
Algebra I Class Worksheet #3 Unit 10
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
= [-5x3]⋅[(-4)2⋅x2] =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
= [-5x3]⋅[(-4)2⋅x2] =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
= [-5x3]⋅[16x2] =
= [-5x3]⋅[(-4)2⋅x2] =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
= [-5x3]⋅[16x2] =
= [-5x3]⋅[(-4)2⋅x2] =
Rule: When multiplying two monomials, you can rearrange the factors.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
= [-5x3]⋅[16x2] =
= [-5x3]⋅[(-4)2⋅x2] =
= [(-5)⋅(16)][x3⋅x2] =
Rule: When multiplying two monomials, you can rearrange the factors.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
= [-5x3]⋅[16x2] =
= [-5x3]⋅[(-4)2⋅x2] =
= [(-5)⋅(16)][x3⋅x2] =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
= [-5x3]⋅[16x2] =
= [-5x3]⋅[(-4)2⋅x2] =
= [(-5)⋅(16)][x3⋅x2] =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
= [-5x3]⋅[16x2] =
= [-5x3]⋅[(-4)2⋅x2] =
= [(-5)⋅(16)][x3⋅x2] =
-80
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
= [-5x3]⋅[16x2] =
= [-5x3]⋅[(-4)2⋅x2] =
= [(-5)⋅(16)][x3⋅x2] =
-80
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
= [-5x3]⋅[16x2] =
= [-5x3]⋅[(-4)2⋅x2] =
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
= [(-5)⋅(16)][x3⋅x2] =
-80
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
= [-5x3]⋅[16x2] =
= [-5x3]⋅[(-4)2⋅x2] =
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
= [(-5)⋅(16)][x3⋅x2] =
-80x5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
25. (2x3y)3(3x3y5)2 = ________
26. (-5x3)(-4x)2 = ________
= [8x9y3]⋅[9x6y10] =
= [23⋅(x3)3⋅y3]⋅[32⋅(x3)2⋅(y5)2] =
= (8⋅9)(x9⋅x6)(y3⋅y10) =
72x15y13
= [-5x3]⋅[16x2] =
= [-5x3]⋅[(-4)2⋅x2] =
= [(-5)⋅(16)][x3⋅x2] =
-80x5
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= [(-1)4⋅(x3)4⋅(y2)4]⋅
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3]
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [1
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
= [1
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
= [1x12
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
= [1x12
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
= [1x12y8]
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
= [1x12y8]⋅[-1
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1x12
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
= [1x12y8]⋅[-1x12
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1x12y9]
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1x12y9] =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1x12y9] =
Rule: When multiplying two monomials, you can rearrange the factors.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
Rule: When multiplying two monomials, you can rearrange the factors.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1x12y9] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1x12y9] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
-1
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1x12y9] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
-1
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1x12y9] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
-1
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1x12y9] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1x12y9] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
-1x24
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1x12y9] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
-1x24
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= [1x12y8]⋅[-1x12y9] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
-1x24y17
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]
Every factor inside the parenthesis is raised to the power of the exponent outside the parenthesis. (ab)n = anbn
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
Rule: When a power of a variable is raised to another power, you just multiply the exponents. (xa)b = xab
= [-27x12]
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27x12]⋅
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27x12]⋅[-5x3] =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27x12]⋅[-5x3] =
Rule: When multiplying two monomials, you can rearrange the factors.
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27x12]⋅[-5x3] =
Rule: When multiplying two monomials, you can rearrange the factors.
= (-27)(-5)(x12⋅x3) =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27x12]⋅[-5x3] =
= (-27)(-5)(x12⋅x3) =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27x12]⋅[-5x3] =
= (-27)(-5)(x12⋅x3) =
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27x12]⋅[-5x3] =
= (-27)(-5)(x12⋅x3) =
135
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27x12]⋅[-5x3] =
= (-27)(-5)(x12⋅x3) =
135
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27x12]⋅[-5x3] =
= (-27)(-5)(x12⋅x3) =
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
135
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27x12]⋅[-5x3] =
= (-27)(-5)(x12⋅x3) =
135x15
Rule: When multiplying two powers of a variable, you just add the exponents. (xa)(xb) = x(a+b)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-x24y17
= [1x12y8]⋅[-1x12y9] =
= [(-1)4⋅(x3)4⋅(y2)4]⋅[(-1)3⋅(x4)3⋅(y3)3] =
= (1)(-1)(x12⋅x12)(y8⋅y9) =
27. (-x3y2)4(-x4y3)3 = ______
28. (-3x4)3(-5x3) = _______
= [(-3)3⋅(x4)3]⋅[-5x3] =
= [-27x12]⋅[-5x3] =
= (-27)(-5)(x12⋅x3) =
135x15
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
29. -62 = _____
30. (-6)2 = _____
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-36
36
29. -62 = _____
30. (-6)2 = _____
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-36
36
29. -62 = _____
30. (-6)2 = _____
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-36
36
29. -62 = _____
30. (-6)2 = _____
= (-1)(6)(6)
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-36
36
= (-1)(6)(6)
29. -62 = _____
30. (-6)2 = _____
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-36
36
= (-1)(6)(6)
= (-6)(-6)
29. -62 = _____
30. (-6)2 = _____
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-36
36
= (-1)(6)(6)
= (-6)(-6)
29. -62 = _____
30. (-6)2 = _____
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= (-1)(6)(6)
= (-6)(-6)
29. -62 = _____
30. (-6)2 = _____
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-36= (-1)(6)(6)
= (-6)(-6)
29. -62 = _____
30. (-6)2 = _____
-36
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= (-1)(6)(6)
= (-6)(-6)
29. -62 = _____
30. (-6)2 = _____
-36
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
-36
36
= (-1)(6)(6)
= (-6)(-6)
29. -62 = _____
30. (-6)2 = _____
-36
36
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= (-1)(6)(6)
= (-6)(-6)
29. -62 = _____
30. (-6)2 = _____
-36
36
Algebra I Class Worksheet #3 Unit 10Simplify each of the following.
= (-1)(6)(6)
= (-6)(-6)
29. -62 = _____
30. (-6)2 = _____
-36
36
Good luck on your homework !!
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