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: 70

Answer

$x^{\frac{2}{7}}(x^{\frac{1}{7}}-2)$

Work Step by Step

$x^{\frac{3}{7}}-2x^{\frac{2}{7}}=x^{\frac{2}{7}}(x^{\frac{1}{7}})-x^{\frac{2}{7}}(2)=x^{\frac{2}{7}}(x^{\frac{1}{7}}-2)$ 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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