Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.7 - Complex Numbers - Practice: 21

Answer

$-1$

Work Step by Step

Step 1: $i^{-10}$ = $\frac{1}{i^{10}}$ = $\frac{1}{(i^{2})^{5}}$ Step 2: Since $i^{2}=-1$, the expression becomes $\frac{1}{(-1)^{5}}$ Step 3: After simplifying, $\frac{1}{(-1)^{5}}$ = $-1$
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.