Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set: 63

Answer

$\dfrac{1}{x^{\frac{5}{12}}}$

Work Step by Step

Use the rule $\dfrac{a^m}{a^n} = a^{m-n}$ to obtain: $=x^{\frac{1}{3} - \frac{3}{4}}$ Make the fraction similar using their LCD of 12 to obtain: $=x^{\frac{4}{12} - \frac{9}{12}} \\=x^{\frac{4-9}{12}} \\=x^{\frac{-5}{12}}$ Use the rule $a^{-m} = \dfrac{1}{a^m}$ to obtain: $=\dfrac{1}{x^{\frac{5}{12}}}$
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