Answer
$\frac{n^{1/2}}{5m^{5/2}}$
Work Step by Step
$(\frac{25m^3n^5}{m^{-2}n^6})^{-1/2}= (25m^{3+2}n^{5-6})^{-1/2}= (25m^{5}n^{-1})^{-1/2}=25^{-1/2}m^{-5/2}n^{1/2}=\frac{n^{1/2}}{5m^{5/2}}$
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 - Chapter R Test Prep - Review Exercises - Page 84: 100
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