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

7.4 More Multiplication Properties of Exponents

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

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

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

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

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

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

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

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