Answer
$4a^{3/4}$
Work Step by Step
$\sqrt[4]{256a^{3}}=\sqrt[4]{2^{8}a^{3}}$
$=\sqrt[4]{(2^{2})^{4}a^{3}}$
$=2^{2}\sqrt[4]{a^{3}}\quad $... apply $\ \ \sqrt[n]{a^{m}}=a^{m/n},$
=$4a^{3/4}$
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 451: 28
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