Chapter 7 - Exponents and Exponential Functions - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 30

$9a^{6}$$b^{8} Work Step by Step \ltYou are given (3b^{-2}$$)^{2}$ ($a^{2}$$b^{4}$$)^{3}$.You have to simplify the expression: ($3^{2}$($b^{-2}$$)^{2}) ((a^{2}$$)^{3}$($b^{4}$$)^{3}) -Raise each term in the parentheses to the power outside of it- (9b^{-4})(a^{6}$$b^{12}$) -simplify the exponents- 9$a^{6}$$b^{-4+12} -add the exponents with the same base since you are multiplying- The simplified expression is 9a^{6}$$b^{8}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.