Answer
No, this isn't a power function.
Work Step by Step
Use the fact that $(a^m)^n=a^{mn}$ to get $$h(x)=22(7^{2x})$$ This cannot fit the form of $f(x)=kx^p$, so this is not a power function.
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 11 - Polynomial and Rational Functions - 11.1 Power Functions and Proportionality - Exercises and Problems for Section 11.1 - Exercises and Problems - Page 439: 7
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