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: 68

Answer

$3xy^{2}$

Work Step by Step

Raising each term in the expression to the power of $1/2$, we obtain: $(9x^{2}y^{4})^{\frac{1}{2}}$ =$(9)^{\frac{1}{2}}(x^{2})^{\frac{1}{2}}(y^{4})^{\frac{1}{2}}$ =$3(x^{2\times\frac{1}{2}})y^{4\times\frac{1}{2}}$ =$3(x^{1})(y)^{2}$ =$3xy^{2}$
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