Answer
$\frac{10}{a^{1/8}b^{3/2}}$
Work Step by Step
$(\frac{25^4a^3}{b^2})^{1/8}(\frac{4^2b^{-5}}{a^2})^{1/4}=(\frac{5^8a^3}{b^2})^{1/8}(\frac{2^4}{a^2b^{5}})^{1/4}=5\cdot2\cdot\frac{a^{3/8}}{b^{1/4}a^{1/2}b^{5/4}}=\frac{10}{a^{1/8}b^{3/2}}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - R.6 Rational Exponents - R.6 Exercises - Page 64: 76
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