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



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, $\frac{1}{(-1)^{5}}$ = $-1$
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