Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set: 121

Answer

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

Work Step by Step

Given expression be $\frac{y}{x^{\frac{-2}{5}}}= x^{\frac{3}{5}}$ $y=x^{\frac{-2}{5}} \times x^{\frac{3}{5}}$ Using product rule for exponents, $y=x^{\frac{-2}{5} + \frac{3}{5} } $ $y=x^{\frac{-2+3}{5} } $ $y=x^{\frac{1}{5} } $
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