Answer
$32$
Work Step by Step
$$g(x)=\left(\frac14\right)^x$$
Substitute $x=-\dfrac52$:
$$g(x)=\left(\frac14\right)^{-\dfrac52}=$$
$$=(4)^\dfrac52=\sqrt{4}^5=2^5=32$$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter 4 - Section 4.2 - Exponential Functions - 4.2 Exercises - Page 409: 12
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