Intermediate Algebra (6th Edition)

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

Chapter 9 - Cumulative Review: 36c

Answer

-1

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. $i^{42}=i^{40}\times i^{2}=(i^{4})^{10}\times i^{2}=1^{10}\times -1=1\times -1=-1$ Here, we are using the fact that $i^{2}=-1$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.