1. Warm Up What is each expression written as a single power?
B.) (-4)8 * (-4)-5
What is the simplified form of each expression?
C.) 2n-2 * 5n7
D.) -2r * 5s3 * 4r8

2. 7.4 More Multiplication Properties of Exponents

3. Objectives
Raise a power to a power.
Raise a product to a power.

4. Raising a Power to a Power
To raise a power to a power, multiply the exponents.
(am)n = amn, where a ≠ 0 and m and n are integers
(54)2 = 54*2 = 58

5. Example 1 – Simplifying a Power Raised to a Power
What is the simplified form of (b3)5?

6. Example 2 – Simplifying an Expression with Powers
What is the simplified form of h-2(h4)-3?

7. Raising a Product to a Power
To raise a product to a power, raise each factor to the power and multiply.
(ab)n = anbn, where a ≠ 0, b ≠ 0, and n is an integer
(3x)4 = 34x4 = 81x4

8. Example 3 – Simplifying a Product Raised to a Power
Which expression represents the area of the square?
4x5

9. Example 4 – Simplifying an Expression with Products
What is the simplified form of (b6)3(8ab-4)2?

10. Assignment
Pg. 436 – 437 (10 – 17 all, 24 – 31all, 47 – 50 all)