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: 70

Answer

$2x^{\frac{1}{6}}$

Work Step by Step

We will use the rule $\frac{a^{m}}{a^{n}}=a^{m-n}$ in the simplification of the expression: $\frac{18x^{\frac{1}{2}}}{9x^{\frac{1}{3}}}$ $=\frac{18}{9}\times\frac{x^{\frac{1}{2}}}{x^{\frac{1}{3}}}$ $=2\times x^{\frac{1}{2}-(\frac{1}{3})}$ $=2\times x^{\frac{3-2}{6}}$ $=2x^{\frac{1}{6}}$
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