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: 61

Answer

$10n^{\frac{1}{4}}$

Work Step by Step

Recall the following rule: $a^{n}\cdot a^{m}=a^{n+m}$. Therefore, we obtain: $(5n^{\frac{3}{4}})(2n^{-\frac{1}{2}})$ $=(5\times2)(n^{\frac{3}{4}-\frac{1}{2}})$ $=(10)(n^{\frac{3-2}{4}})$ $=10n^{\frac{1}{4}}$
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