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 - 7-3 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 55



Work Step by Step

You are given ($b^{1/6}$$)^{3}$$b^{1/6}$.Simplify the expression: $b^{{\frac{1}{6}}{\times}3}$$b^{1/6}$ -multiply exponents when raising a power to a power- $b^{{\frac{3}{6}}}$$b^{{\frac{1}{6}}}$ -simplify- $b^{{\frac{3}{6}}+{\frac{1}{6}}}$ -add the exponents of powers with the same base- $b^{{\frac{4}{6}}}$ -simplify- =$b^{{\frac{2}{3}}}$
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