Elementary Algebra

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: 65

Answer

$25xy^{2}$

Work Step by Step

Raising each term in the expression to the power of $2$, we obtain: $(5x^{\frac{1}{2}}y)^{2}$ =$(5)^{2}(x^{\frac{1}{2}})^{2}(y)^{2}$ =$25(x^{\frac{1}{2}\times2})(y)^{2}$ =$25(x^{1})(y)^{2}$ =$25xy^{2}$
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