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: 62

Answer

$x+x^2$

Work Step by Step

Using the Distributive Property and the laws of exponents, then, \begin{array}{l} x^{1/2}(x^{1/2}+x^{3/2}) \\\\= x^{\frac{1}{2}+\frac{1}{2}}+x^{\frac{1}{2}+\frac{3}{2}} \\\\= x^{\frac{2}{2}}+x^{\frac{4}{2}} \\\\= x+x^2 .\end{array}
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