Do Now Simplify each expression.

HW KEY

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.

Practice Simplify.

Example #2 Simplify.

Practice Simplify.

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,

Example

Example #3 Simplify.

Practice Simplify.

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,

Example

Example #4 Simplify.

Practice Simplify.

Example #5 Simplify each expression.

Example #6 Simplify.

Practice Simplify.

Mixed Practice Simplify each of the following:

Homework Worksheet