Answer
$\frac{3}{2}$
Work Step by Step
Recall the following rule: $\sqrt [n] {x^{n}}=x$. Thus, we obtain:
$\sqrt[4] {\frac{81}{16}}=\sqrt[4] {\frac{3^4}{2^4}}=\frac{\sqrt[4]{3^4}}{\sqrt[4]{2^4}}=\frac{3^{4/4}}{2^{4/4}}=\frac{3}{2}$
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
Published by
Cengage Learning
ISBN 10:
1285194055
ISBN 13:
978-1-28519-405-9
Chapter 11 - Additional Topics - Chapter 11 Review Problem Set - Page 519: 21
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