Warm Up-please complete this on a separate sheet of paper (sometimes these will be collected and graded)

Simplify.5xy + 12x – 3xy +3x – 19

Which of the follow is NOT a term?6x 5x – 12 = 43 12 – 9y

8by

Simplify and Evaluate when x = 5 and y = 7.4x2y – 5x + 2y3 - 12

Vocabulary Line Up

EXPONENT LAWS & COMBINING LIKE TERMSJanuary 24th, 2014

Type in your calculator (-2)0=___.

Type in your calculator (200)0=____.

Type in your calculator (1/4)0=___.

Type in your calculator (5.14)0=____.

Do you notice a pattern?

So we can say that any time you see a 0 exponent, the expression is equivalent to 1.

Try 00:

This is never equal to 1.

This also works if your base is a variable.

So for instance (x)0 = 1, for all x 0.

Even if it looks like this (xyz)0 = 1.

Even if it looks like this (x3 + x2y – 25xy2 + 50)0 = 1

It doesn’t matter what it looks like because anything to the 0 power is 1.

Exponents

Type in to your calculator 32 = _______.

Type in to your calculator 22 = _______.

Type in to your calculator 42 = ________.

Negative Exponents(Give me your answers in fraction form.)

Type in to your calculator 3 (-2) = _______.

Type in to your calculator 2 (-2) = _______.

Type in to your calculator 4 (-2) = ________.

Do you notice a pattern?

Type in to your calculator = _______.

Type in to your calculator = _______.

Type in to your calculator = ________.

Do you notice a pattern here?

231

221

241

Exponent Law:

So we can say that bases with a negative exponent switch sides.

Notation (MOVE IT AND LOSE IT)So to make it simpler for solving. You

need to rewrite expressions, so that all of the exponents become positive.

For example:

33

414

13

31 3

3

Try These:1. 3-2

2. 6-1

3. (-4)-2

1.

2.

When a fraction is in parentheses with a negative exponent, DISTRIBUTE the exponent

and MOVE your terms.

How about fractions!

1

32

4

nm

1. 2.

3. 4.

Simplify the Expressions

235 ba

55 a

3

2a

3

5

84

ab

Now: Evaluate when a = 3 and b = 2

Expand & Simplify35 = 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 = 243

1. 124 =

2. (-5)7 =

3. (0.5)-3 =

Exponent Rules When multiplying two variables with a

like base, you ADD the exponents

x7 • x8 = x15 x5 • x1 = x6

When dividing two variables with a like base, you SUBTRACT the exponents

25

7

xxx

93

12

yyy

Simplify

3

4

62

53

kk

vv

aa4.

5.

6.

Expand then Simplify

3

8

xx

9

3

dd

Simplify the expression

2

4

3

3

7p

xy

y1.

2.

3.

Exponent Rules When you raise an exponent to another

exponent, you MULTIPLY the exponents.

(y2)5 =

(x4)-2 =

Simplify

zyxzyx54

814

25

73

baba

Simplify

3

5

252

53

xzzyx

DO YOU REMEMBER THE GAME MEMORY?

Combining Like Terms You can only COMBINE terms that match.

X matches X X does not match x2

Terms must match in VARIABLES and EXPONENTS

Match/Combine the Like Terms17x4 4y3 14x3y5

z23ab2

56y4 6a2b -32s3t6 8a2b3

4a2b3 19s6t3 2x4 3x3y5z85s3t6 x5y3z 3y4 96ab2

15a2b 7y3 7x5y3z 2s6t3

Simplify the Expressions by Combining Like Terms

Homework Worksheet

Remember to bring in signed parent forms!!!!