Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix G - Complex Numbers - G Exercises: 12

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 $i=\sqrt{-1}$) $=(-1)^{50}$ $=1$
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