Answer
$$16e^{\frac{20t}{3}}$$
Work Step by Step
Simplifying the expression using the rules of exponents:
$$ \left(2e^{\frac{5t}{3}}\right)^4 \\ 2^4e^{\frac{20t}{3}} \\ 16e^{\frac{20t}{3}}$$
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 4 - Exponential Functions - 4.5 The Number e - Exercises and Problems for Section 4.5 - Skill Refresher - Page 172: S14
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