Answer
$$(25^{1/8})^4=5$$
Work Step by Step
$$(25^{1/8})^4$$
As $25\gt0$, we can apply the law of exponents here.
Applying this law: $$(a^x)^y=a^{xy}$$ we have
$$(25^{1/8})^4=25^{(1/8\times4)}=25^{1/2}=\sqrt{25}=5$$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 1 - Section 1.5 - Exponential Functions - Exercises - Page 38: 15
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