Answer
$ x^{2/3}y$
Work Step by Step
$\frac{(x^2y)^{1/3}(xy^2)^{2/3}}{x^{2/3}y^{2/3}}=\frac{x^{2/3}y^{1/3}x^{2/3}y^{4/3}}{x^{2/3}y^{2/3}}=x^{2/3}y^{(1/3+2/3)}=x^{2/3}y$
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: 71
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