Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Cumulative Review: 36b

Answer

i

Work Step by Step

In Section 7.7, we derived that $i^{4}=1$. Therefore, we can use this fact to write the equation in terms of $i^{4}$ and find the desired power of i. $i^{21}=i^{20}\times i^{1}=(i^{4})^{5}\times i=1^{5}\times i=1\times i=i$
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