Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Review: 30

Answer

$-\frac{1}{4}$

Work Step by Step

Step 1: $(-64)^{-\frac{1}{3}}$ Step 2: $(-4^{3})^{-\frac{1}{3}}$ Step 3: $(-1\times4^{3})^{-\frac{1}{3}}$ Step 4: $(-1^{-\frac{1}{3}}\times4^{3\times-\frac{1}{3}})$ Step 5: Simplifying $-1^{-\frac{1}{3}}$ $-1^{-\frac{1}{3}}=-1$ Step 6: Simplifying exponential powers on 4, $3\times-\frac{1}{3}=-1$ Step 7: Now the expression becomes $(-1\times4^{-1})$ or $(-1\times\frac{1}{4})$ Step 8: This is simplified to $-\frac{1}{4}$
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