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, $\frac{1}{(-1)^{5}}$ = $-1$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 10 - Section 10.7 - Complex Numbers - Practice - Page 738: 21
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