Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.5 - Integrated Review - Radicals and Rational Exponents: 15

Answer

$x^{\frac{5}{4}}$

Work Step by Step

$\frac{x^{\frac{1}{4}}\times x^{\frac{3}{4}}}{x^{-\frac{1}{4}}}$ =$\frac{x^{\frac{1}{4}+\frac{3}{4}}}{x^{-\frac{1}{4}}}$ =$\frac{x^{\frac{1+3}{4}}}{x^{-\frac{1}{4}}}$ =$\frac{x^{\frac{4}{4}}}{x^{-\frac{1}{4}}}$ =$\frac{x^{1}}{x^{-\frac{1}{4}}}$ =$x^{1+\frac{1}{4}}$ =$x^{\frac{4+1}{4}}$ =$x^{\frac{5}{4}}$
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