Answer
$1$
Work Step by Step
Factor out as many $i^4$ as possible.
$i^{40}=(i^4)^{10}$
Know that $i^4=1$. Substitute, and simplify.
$(i^4)^{10}=1^{10}=1$
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 1 - Section 1.3 - Complex Numbers - 1.3 Exercises - Page 104: 92
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