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: 67

Answer

$64x^{\frac{3}{4}}y^{\frac{3}{2}}$

Work Step by Step

Raising each term in the expression to the power of $3$, we obtain: $(4x^{\frac{1}{4}}y^{\frac{1}{2}})^{3}$ =$(4)^{3}(x^{\frac{1}{4}})^{3}(y^{\frac{1}{2}})^{3}$ =$64(x^{\frac{1}{4}\times3})y^{\frac{3}{2}}$ =$64(x^{\frac{3}{4}})(y)^{\frac{3}{2}}$ =$64x^{\frac{3}{4}}y^{\frac{3}{2}}$
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