Answer
$\displaystyle \frac{25}{16}$
Work Step by Step
We simplify:
$(-\displaystyle \frac{64}{125})^{-2/3}= (-\displaystyle \frac{125}{64})^{2/3}=(\sqrt[3]{-\frac{125}{64}})^2=(-\frac{5}{4})^2 =\frac{25}{16}$
College Algebra (10th Edition)
by Sullivan, Michael
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 - Page 79: 77
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