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: 69

Answer

$2x^{2}y$

Work Step by Step

Raising each term in the expression to the power of $1/3$ and then simplifying, we obtain: $(8x^{6}y^{3})^{\frac{1}{3}}$ =$(8)^{\frac{1}{3}}(x^{6})^{\frac{1}{3}}(y^{3})^{\frac{1}{3}}$ =$(2^{3})^{\frac{1}{3}}(x^{6\times\frac{1}{3}})y^{3\times\frac{1}{3}}$ =$2^{1}(x^{2})(y)^{1}$ =$2x^{2}y$
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