Objective: Find the power of a power. Find the power of a product. Standard Addressed: E: Simplify and expand algebraic expressions using exponential forms.

To raise a power to a power, multiply the exponents.

Ex. 1

You can simplify expressions by using the definition of exponents.

Ex. 2a.

Ex. 2b. Simplify (c 2 d 2 ) 4 by using the definition of exponents. c 8 d 8

The Power-of-a-Product Property can be extended to include all factors inside the parentheses. For example: (xyz) n = x n y n z n

Ex. 3

Ex. 4

Ex. 4 c and d. C. D. 4e 12 f 3 16p 20 r 12

Ex. 5

Powers of -1

Ex. 6