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: 35

Answer

$-\frac{1}{2}$

Work Step by Step

We know that $\sqrt[6] \frac{1}{64}=\frac{1}{2}$, because $(\frac{1}{2})^{6}=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{64}$. Therefore, $-\sqrt[6] \frac{1}{64}=-(\frac{1}{2})=-\frac{1}{2}$.
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