Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - Chapter 11 Review Problem Set: 21

Answer

$\frac{3}{2}$

Work Step by Step

Recall the following rule: $\sqrt [n] {x^{n}}=x$. Thus, we obtain: $\sqrt[4] {\frac{81}{16}}=\sqrt[4] {\frac{3^4}{2^4}}=\frac{\sqrt[4]{3^4}}{\sqrt[4]{2^4}}=\frac{3^{4/4}}{2^{4/4}}=\frac{3}{2}$
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