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: 119

Answer

$a^{\frac{1}{3}}$

Work Step by Step

$x . a^{\frac{2}{3}} = a^{\frac{3}{3}}$ To find $x$ $x = \frac{a^{\frac{3}{3}}}{a^{\frac{2}{3}}} $ Using $\frac{a^{m}}{a^{n}} = a^{m-n}$ $x = a^{\frac{3}{3}-\frac{2}{3}}$ $x = a^{\frac{3-2}{3}}$ $x = a^{\frac{1}{3}}$
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