Answer
$25xy^{2}$
Work Step by Step
Raising each term in the expression to the power of $2$, we obtain:
$(5x^{\frac{1}{2}}y)^{2}$
=$(5)^{2}(x^{\frac{1}{2}})^{2}(y)^{2}$
=$25(x^{\frac{1}{2}\times2})(y)^{2}$
=$25(x^{1})(y)^{2}$
=$25xy^{2}$
Elementary Algebra
by Kaufmann, Jerome; Schwitters, Karen;
Published by
Cengage Learning
ISBN 10:
1285194055
ISBN 13:
978-1-28519-405-9
Chapter 11 - Additional Topics - 11.3 - Fractional Exponents - Problem Set 11.3 - Page 489: 65
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