Home › CBSE Class 11 › mathematics › Complex Numbers — Algebra, Powers of i, Modulus, Conjugate, Multiplicative Inverse, Argand Plane › Find the value of i^(-39).
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. So i⁻³⁹ = 1/(-i) = -1/i · i/i = -i/(-1) = i.
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