Answer
$14x^{7/12}$
Work Step by Step
$(7x^{1/3})(2x^{1/4})=7\cdot 2x^{1/3}\cdot x^{1/4}\quad$ ... apply $a^{m}\cdot a^{n}=a^{m+n}$
$=14\cdot x^{1/3+1/4}\qquad$... $\displaystyle \frac{1}{3}+\frac{1}{4}=\frac{4+3}{12}$
$=14x^{7/12}$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter P - Section P.3 - Radicals and Rational Exponents - Exercise Set - Page 46: 91
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