Answer
$1$
Work Step by Step
$i^{100}$
We use basic exponent rules ($(a^b)^c=a^{bc}$):
$=(i^{2})^{50}$
We use the fact that $i^2=-1$ (because $i=\sqrt{-1}$)
$=(-1)^{50}$
$=1$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Appendix G - Complex Numbers - G Exercises - Page A55: 12
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