#### Answer

$-1$

#### Work Step by Step

Factor out as many $i^4$ as possible.
$i^{-14}=(i^4)^{-3}*i^{-2}$
Know that $i^4=1$. Substitute, and simplify.
$(i^4)^{-3}*i^{-2}=1^{-3}*\frac{1}{(i^2)}=1*\frac{1}{-1}=-1$

Published by
Pearson

ISBN 10:
0321671791

ISBN 13:
978-0-32167-179-0

$-1$

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