College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.3 - Complex Numbers - 1.3 Exercises: 94

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. $(i^4)^{-3}*i^{-2}=1^{-3}*\frac{1}{(i^2)}=1*\frac{1}{-1}=-1$
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