Answer
3
Work Step by Step
$27^{2/3}\cdot 27^{-1/3}=$ ...use: $a^{m}\cdot a^{n}=a^{m+n}$
$=27^{(2/3)+(-1/3)}$
$=27^{2/3-1/3}$
$=27^{1/3}=$ ... recognize: $27=3^{3}$
$=(3^{3})^{1/3}=$ ...use: $(a^{m})^{n}=a^{mn}$
$=3^{1}=3$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter R - Algebra Reference - R.6 Exponents - R.6 Exercises - Page R-25: 38
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