Answer
$x^{\frac{5}{6}}$
Work Step by Step
Use the rule $a^m \cdot a^n = a^{m+n}$ to obtain:
$=x^{\frac{1}{2} + \frac{1}{3}}$
Make the fractions similar using their LCD of 6 to obtain:
$=x^{\frac{3}{6} + \frac{2}{6}}
\\=x^{\frac{5}{6}}$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set - Page 522: 59
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