Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-2 Multiplying Powers With the Same Base - Practice and Problem-Solving Exercises - Page 430: 28


The answer is 5184$\times$$b^{\frac{7}{3}}$$\times$$t^{\frac{4}{5}}$

Work Step by Step

To solve this (8$b^{\frac{2}{3}}$$\times$9$t^{\frac{1}{5}}$)($8b^{\frac{5}{3}}$$\times$9$t^{\frac{3}{5}}$) = (8$\times$8)($b^{\frac{2}{3}+\frac{5}{3}}$)(9$\times$9)($t^{\frac{1}{5}+\frac{3}{5}}$) = (64$b^{\frac{7}{3}}$)(81$t^{\frac{4}{5}}$) = 5184$\times$$b^{\frac{7}{3}}$$\times$$t^{\frac{4}{5}}$
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