Answer
$\frac{1}{2}$
Work Step by Step
We know that $16=2^4$.
Hence $\left(16^{-\frac{1}{16}}\right)^4=16^{-\frac{1}{16}\cdot4}=16^{-\frac{1}{4}}=(2^4)^{-\frac{1}{4}}=2^{(4\cdot-\frac{1}{4})}=2^{-1}=\frac{1}{2}$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.1 Derivative of f(x)=bx and the Number e - Exercises - Page 327: 2
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