Powers of i Calculator
Powers of i cycle through i, -1, -i, 1. i^1=i, i^2=-1, i^3=-i, i^4=1, i^5=i...
Formula
i^1=i, i^2=-1, i^3=-i, i^4=1, then repeats (period 4)
i^5
Inputs
- Exponent (n): 5
5 mod 4 = 1, so i^5 = i
Frequently asked questions
Why does i cycle?
Because i² = -1 by definition in complex numbers