Answer
$\frac{1}{100}$
Work Step by Step
$\frac{2^{2/3}}{2000^{2/3}}=(\frac{2}{2000})^{2/3}=(\frac{1}{10^3})^{2/3}=\frac{1}{100}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter R - Review of Basic Concepts - R.6 Rational Exponents - R.6 Exercises - Page 65: 121
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