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 - 7-5 Rational Exponents and Radicals - Practice and Problem-Solving Exercises - Page 451: 38

Answer

$\sqrt[12]{a^{11}}$.

Work Step by Step

The given expression is $=(a^{\frac{2}{3}})(a^{\frac{1}{4}})$ Add exponents of powers with the same base. $=a^{\frac{2}{3}+\frac{1}{4}}$ Simplify. $=a^{\frac{8}{12}+\frac{3}{12}}$ $=a^{\frac{8+3}{12}}$ $=a^{\frac{11}{12}}$ Write in radical form. $=\sqrt[12]{a^{11}}$.
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