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: 64

Answer

$3x^{-\frac{1}{10}}$

Work Step by Step

We will use the rule $a^{n}a^{m}=a^{n+m}$ in the solution. Therefore, $(x^{\frac{2}{5}})(3x^{-\frac{1}{2}})$ $=(1\times3)(x^{\frac{2}{5}-\frac{1}{2}})$ $=(3)(x^{\frac{2(2)-5}{10}})$ $=3x^{\frac{4-5}{10}}$ $=3x^{-\frac{1}{10}}$
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