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Find the value of i^(-39).

Ai
B-i
C1
D-1
Answer & Solution
Correct answer: A. i
i⁻³⁹ = 1/i³⁹. Compute i³⁹: i^(4×9 + 3) = i³ = -i. We have **So i⁻³⁹ = 1/(-i). That is **So i⁻³⁹ = -1/i · i/i. That is **So i⁻³⁹ = -i/(-1). So **So i⁻³⁹ = i.**.
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