Intermediate Algebra (6th Edition)

Published by Pearson

Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set: 68

Answer

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

Work Step by Step

$x^{\frac{5}{2}}-x^{\frac{3}{2}}=x^{\frac{3}{2}}(x^{\frac{2}{2}})-x^{\frac{3}{2}}(1)=x^{\frac{3}{2}}(x^{\frac{2}{2}}-1)=x^{\frac{3}{2}}(x-1)$ 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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