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 - Mid-Chapter Check Point - Page 541: 9

Answer

$x^{\frac{3}{4}}$.

Work Step by Step

The given expression is $=\frac{x}{\sqrt[4] x}$ Rewrite as an exponential expression. $=\frac{x^1}{x^{\frac{1}{4}}}$ To divide with the same base, subtract exponents. $=x^{1-\frac{1}{4}}$ Simplify. $=x^{\frac{4-1}{4}}$ $=x^{\frac{3}{4}}$.
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