1. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Objectives 8.2 Laws of Exponents: Powers and Products Find the power of a power. Find the power of a product.

2. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Glossary Terms Power-of-a-Power Property Power-of-a-Product Property 8.2 Laws of Exponents: Powers and Products

3. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Rules and Properties Power-of-a-Power Property For all nonzero real numbers x and all integers m and n, (x m ) n = x mn. 8.2 Laws of Exponents: Powers and Products Power-of-a-Product Property For all nonzero real numbers x and y and all integers n, (xy) n = x n y n.

4. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Rules and Properties Powers of –1 Even powers of –1 are equal to 1. Odd powers of –1 are equal to –1. 8.2 Laws of Exponents: Powers and Products

5. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Key Skills Use the properties of exponents to simplify an expression. Simplify n 3 (2k 2 n 4 ) 2 Use the Power-of-a- Product Property. Use the Product-of- Powers Property. = n 3  4  k 4  n 8 = 4  k 4  n 3+8 = n 3  2 2  (k 2 ) 2 (n 4 ) 2 = n 3  4  k 2. 2  n 4. 2 8.2 Laws of Exponents: Powers and Products = 4k 4 n 11 Use the Power-of-a- Power Property. TOC