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 - Chapter Review - Page 475: 21



Work Step by Step

$x^{\frac{2}{3}}.x^a=x^{\frac{11}{12}}$ $x^{\frac{2}{3}+a}=a^{\frac{11}{12}}$ Multiply the powers with the same base. $\frac{2}{3}+a=\frac{11}{12}$ $a=\frac{1}{4}$ Therefore, the completed equation is: $x^{\frac{2}{3}}.x^{\frac{1}{4}}=x^{\frac{11}{12}}$
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