Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - Chapter 11 Review Problem Set: 36

Answer

$5x^{2}y^{3}$

Work Step by Step

Raising each term in the expression to the power of $\frac{1}{2}$ and then simplifying, we obtain: $(25x^{4}y^{6})^{\frac{1}{2}}$ $=(25)^{\frac{1}{2}}\times (x^{4})^{\frac{1}{2}}\times(y^{6})^{\frac{1}{2}}$ $=(5^{2})^{\frac{1}{2}}\times (x^{4})^{\frac{1}{2}}\times(y^{6})^{\frac{1}{2}}$ $=5\times (x^{\frac{1}{2}\times4})\times(y^{\frac{1}{2}\times6})$ $=5\times (x^{2})\times(y^{3})$ $=5x^{2}y^{3}$
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