Question

The imaginary number i raised to the power of 38 simplifies to -1 1 i -i

Answer 1

-1

Explanation:

Answer 2

38 = 9·4+2

So i³⁸ = i⁴ˣ⁹ ⁺ ² = i⁴ˣ⁹ · i² = (i⁴)⁹ · i² = 1⁹ · i² = i² = -1

Final answer: -1

Hope this helps.