College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.8 - nth Roots; Rational Exponents - R.8 Assess Your Understanding: 77


$\displaystyle \frac{25}{16}$

Work Step by Step

We simplify: $(-\displaystyle \frac{64}{125})^{-2/3}= (-\displaystyle \frac{125}{64})^{2/3}=(\sqrt[3]{-\frac{125}{64}})^2=(-\frac{5}{4})^2 =\frac{25}{16}$
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