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.

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

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.

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 – Laws of Exponents: Powers and Products

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 Laws of Exponents: Powers and Products = 4k 4 n 11 Use the Power-of-a- Power Property. TOC