Answer
Option A
Work Step by Step
We are given:
$(8x)^{\frac{4}{3}}$
$=(2^3x)^{\frac{4}{3}}$
$=(2^3)^{\frac{4}{3}}x^{\frac{4}{3}}$
$=2^4\sqrt[3] x^4$
$=16\sqrt[3] x^4$
Thus, the correct option is A.
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
Published by
Prentice Hall
ISBN 10:
0133281140
ISBN 13:
978-0-13328-114-9
Chapter 7 - Exponents and Exponential Functions - 7-5 Rational Exponents and Radicals - Practice and Problem-Solving Exercises - Page 452: 55
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