Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set: 69

Answer

$x^{\frac{1}{5}}(x^{\frac{1}{5}}-3)$

Work Step by Step

$x^{\frac{2}{5}}-3x^{\frac{1}{5}}=x^{\frac{1}{5}}(x^{\frac{1}{5}})-x^{\frac{1}{5}}(3)=x^{\frac{1}{5}}(x^{\frac{1}{5}}-3)$ In this problem, we make use of the product rule, which holds that $a^{m}\times a^{n}=a^{m+n}$.
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