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 - Page 425: 63

Answer

$x^{5/3}-2x^{2/3}$

Work Step by Step

Using the Distributive Property and the laws of exponents, then, \begin{array}{l} x^{2/3}(x-2) \\\\= x^{\frac{2}{3}+1}-2x^{\frac{2}{3}} \\\\= x^{\frac{2}{3}+\frac{3}{3}}-2x^{2/3} \\\\= x^{5/3}-2x^{2/3} .\end{array}
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