Answer
$i$
Work Step by Step
Since $i^{4}=1$, we write the given power as a product involving $i^{4}$:
$i^{53}=i^{52}\times i=(i^{4})^{13}\times i=(1)^{13}\times i=1\times i=i$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 8 - Review Exercises - Page 404: 19
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