Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 0 - Section 0.2 - Exponents and Radicals - Exercises - Page 16: 82

Answer

$\frac{1}{8}x^{-\frac{3}{2}}-\frac{2}{3}x^{-\frac{3}{5}}$

Work Step by Step

$\frac{1}{8x\sqrt x}-\frac{2}{3\sqrt[5] x^{3}}=\frac{1}{8xx^{\frac{1}{2}}}-\frac{2}{3x^{\frac{3}{5}}}=\frac{1}{8x^{1+\frac{1}{2}}}-\frac{2}{3x^{\frac{3}{5}}}=\frac{1}{8x^{\frac{3}{2}}}-\frac{2}{3x^{\frac{3}{5}}}=\frac{1}{8}x^{-\frac{3}{2}}-\frac{2}{3}x^{-\frac{3}{5}}$
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