Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 7 - Section 7.1 - Radical Expressions and Graphs - 7.1 Exercises - Page 440: 34

Answer

$\frac{3}{2}$

Work Step by Step

We know that $\sqrt[4] \frac{81}{16}=\frac{3}{2}$, because $(\frac{3}{2})^{4}=\frac{3}{2}\times\frac{3}{2}\times\frac{3}{2}\times\frac{3}{2}=\frac{3\times3\times3\times3}{2\times2\times2\times2}=\frac{81}{16}$.
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