Question

12 POINTS
Simplify i38.
i
−1
−i
1

Answer 1

-1

Explanation:

I got this correct on my quiz

i^38 = -1

Answer 2

Are you sure you've copied down the original problem exactly as given? i38 = 38i can't be simplified. Perhaps you meant i^38, which is a different matter.

Note that i^38 = i^32 * I^4 * I^2.

Note that i^0, i^4, i^8, etc., all equal 1. Therefore,

i^38 = (1)(1)i^2 = 1*(-1) = -1 (answer)