Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Review Exercises - Page 578: 100

Answer

$1$

Work Step by Step

Solve $i^{16}$ Since, $i^2=-1$ and $i^2 \cdot i^2=(-1)(-1)=1$ Thus, $i^{16}=(i^2)^4 \cdot (i^2)^4=(-1)^4(-1)^4=(1)^4=1$ Hence, $i^{16}=1$
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