Answer
$12x^{17/12}$
Work Step by Step
$(3x^{2/3})(4x^{3/4})=3\cdot 4x^{2/3}\cdot x^{3/4}\quad$ ... apply $a^{m}\cdot a^{n}=a^{m+n}$
$=12\cdot x^{2/3+3/4}\qquad$... $\displaystyle \frac{2}{3}+\frac{3}{4}=\frac{8+9}{12}$ ...
$=12x^{17/12}$
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: 92
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