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Multiplication Property ofExponents
8-1
What do the following mean?
1) X3
2) Y5
3) 24x2x3
• X · X · X
• Y · Y · Y · Y · Y
• 2 · 2 · 2 · 2 · (X · X) · (X · X · X)• 16X5
Vocabulary
• X3
– X is the base– 3 is the exponent
• tells us how many times to multiply the base by itself
Product of Powers Rule
• When you multiply powers that have the same base, you add the exponents.
• Ex:• y3y5 = y3+5 = y8
1) x6x11 =
2) 2322 = x17
25
Complete the equation…
1) (5?)2 = 510
2) (x5)? = x15
3) [-2)8]2 = (-2)?
1) 5
2) 3
3) 16
Power to Power Rule
• When you raise an exponent to a power, you multiply the exponents
• Ex: (x3)4 = x12
Power of a Product ( ) Rule
• When you raise a set of ( ) to a power, you have to raise everything in the ( ) to the power.
Ex: (a • b)3 = a3 • b3
(3x2)4 = 34 • (x2)4 = 34 • x8 = 81x8
Simplify
1) (2mn)6
2) (-rst)5
3) -4x • (x3)2
4) (5y2)3 • (y3)2
1) 64m6n6
2) -r5 s5 t5
3) -4x7
4) 125x12
Homework
• Pg. 446#20-60 (e), 70-73 all
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