Answer
(a) $25$
(b) $\frac{125}{512}$
(c) $\frac{1}{81}$
Work Step by Step
(a) $125^{2/3}=((125)^{1/3})^2=5^{2}=25$
(b) $(\frac{25}{64})^{3/2}=(\frac{5}{8})^{3}=\frac{125}{512}$
(c) $27^{-4/3}=3^{-4}=\frac{1}{81}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter P, Prerequisites - Section P.4 - Rational Exponents and Radicals - P.4 Exercises - Page 30: 52
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