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: 29


The answer is 196$\times$$d^{\frac{7}{3}}$$\times$$g^{\frac{7}{3}}$

Work Step by Step

To solve this (7$d^{\frac{3}{2}}$$\times$2$g^{\frac{5}{6}}$)($2g^{\frac{3}{2}}$$\times$7$d^{\frac{5}{6}}$) = (7$\times$7)($d^{\frac{3}{2}+\frac{5}{6}}$)(2$\times$2)($g^{\frac{5}{6}+\frac{3}{2}}$) = (49$d^{\frac{9}{6}+\frac{5}{6}}$) (4$t^{\frac{5}{6}+\frac{9}{6}}$) = 196$\times$$d^{\frac{14}{6}}$$\times$$g^{\frac{14}{6}}$ = 196$\times$$d^{\frac{7}{3}}$$\times$$g^{\frac{7}{3}}$
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