Answer
$\sqrt[9]{(xy)^4}$
Work Step by Step
RECALL:
$a^{\frac{m}{n}}=\sqrt[n]{a^m}$
The given expression has
$a=xy$, $m=4$ and $n=9$
Use the rule above to obtain:
$(xy)^{\frac{4}{9}}=\sqrt[9]{(xy)^4}$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set - Page 521: 20
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