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: 56

Answer

$10x^{\frac{2}{3}}$

Work Step by Step

Recall the following rule: $a^{n}\cdot a^{m}=a^{n+m}$. Therefore, we obtain: $(2x^{\frac{1}{3}})(5x^{\frac{1}{3}})$ $=(2\times5)(x^{\frac{1}{3}+\frac{1}{3}})$ $=(10)(x^{\frac{1+1}{3}})$ $=10x^{\frac{2}{3}}$
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