Do Now

Simplify each expression.

HW KEY

1)

2)

Multiplying and Dividing

Exponents-Part II

Power to power

First, we’ll multiply a power to a

power.

Property

Raising a power to a power – For every nonzero number a and integers m and n,

Examples

Example #1

Simplify.

63x 25y

Practice

Simplify.

74a 28b

Example #2

Simplify.

34 5n n 25 3c c

Practice

Simplify.

24 3t t 2 54 2a a

Second, we’ll raise a product to a

power.

Property

Raising a product to a power – For every nonzero number a and b and integer n,

( )n n nab a b

Example

4 4 4 43 3 81x x x

Example #3

Simplify.

322x

Practice

Simplify.

42z 233t

Third, we’ll divide a

power to a power.

Property

Raising a quotient to a power – For every nonzero number a and b and integer n,

n n

n

a a

b b

Example

3 3

3

4 4 64

5 5 125

Example #4

Simplify.

3

2

4

x

Practice

Simplify.

2

2

3

x

Example #5

Simplify each expression.

23

5

Example #6

Simplify.

23

4

r s

t

Practice

Simplify.

35 2x y

z

54 7

2 4

m n

m n

Mixed Practice

Simplify each of the following:

43d 2310w52

3

x

y

Homework

Worksheet