Answer
$100$
Work Step by Step
RECALL:
$a^{\frac{m}{n}}=\sqrt[n]{a^m}$
With $a=1000$, $m=2$ and $n=3$, use the rule above to obtain:
$1000^{\frac{2}{3}}=\sqrt[3]{1000^2}=\sqrt[3]{(10^{3})^{2}}=10^{2}=100$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set - Page 521: 14
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