Answer
$5y^{3/4}$
Work Step by Step
$\sqrt[4]{625\cdot y^{3}}=\sqrt[4]{5^{4}\cdot y^{3}}$
$=5\cdot\sqrt[4]{y^{3}}\quad $... apply $\ \ \sqrt[n]{a^{m}}=a^{m/n},$
= $5y^{3/4}$
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: 31
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