College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Summary, Review, and Test - Review Exercises: 70

Answer

$3\sqrt[4] x$

Work Step by Step

Divide the exponents by subtracting them. Then continue to divide the other numbers and simplify. Use the formula $a^{m/n}=\sqrt[n] {a^{m}}$ to put the variable in the radical. $\frac{15x^{\frac{3}{4}}}{5x^{\frac{1}{2}}}$ $\frac{15}{5}*\frac{x^{3/4}}{x^{1/2}}$ $3*x^{3/4-1/2}$ $3*x^{3/4-2/4}$ $3x^{1/4}$ $3\sqrt[4] x$
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