Simplify each expression.

1. (x4)5 2. (x5y–2)3

3. (5a4)3 4. (2w–2)4(3w2b–2)3

x20 X 15y -6

125a12

432w -2b -6

Math on the Mind:

Division of Exponential Expressions

Unit 1, Lesson 8

3

5

x

x

xxx

xxxxx

xx 2x

Dividing Powers with the Same Base Keep the base the same and subtract the

exponents.

Example:

nmn

m

aa

a

3

7

3

3 43

Simplify each expression.x4

x9a.

Simplify the exponents.= x–5

Rewrite using positive exponents.

1 x5

=

=

Division Properties of Exponents

You Try:

Simplify each expression.

p3 j –4

p–3 j 6

= p6 j –10 Simplify.

Rewrite using positive exponents.

p6

j10=

b. = Subtract exponents.p3 – (–3)j –4 – 6

Division Properties of Exponents

You Try:

Raising a Quotient to a Power

Example

n

nn

b

a

b

a

3

5

4

3

3

5

4

125

64

Simplify . 3 y 3

4

34

y 12=

81y 12

=

Division Properties of Exponents

You Try:

337

23

4

42

ab

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