Answer
$\frac{8x^{5/4}}{y^{3/4}}$
Work Step by Step
$\frac{(16x^2y^{-1/3})^{3/4}}{(xy^2)^{1/4}}=[\frac{2^{12}x^6y^{-1}}{xy^2}]^{1/4}=[\frac{2^{12}x^5}{y^3}]^{1/4}=\frac{8x^{5/4}}{y^{3/4}}$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.7 nth Roots; Rational Exponents - A.7 Assess Your Understanding - Page A61: 73
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