Answer
$\sqrt[3]{\frac{9}{2}}$
Work Step by Step
$\sqrt[6] {\frac{81}{4}}=\sqrt[6] {\frac{3^4}{2^2}}=\frac{3^{4/6}}{2^{2/6}}=\frac{3^{2/3}}{2^{1/3}}=\frac{\sqrt[3] 9}{\sqrt[3]2}=\sqrt[3]{\frac{9}{2}}$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 6 Rational Exponents and Radical Functions - 6.2 Apply Properties of Rational Exponents - 6.2 Exercises - Skill Practice - Page 424: 30
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