Use exponent rules to simplify i^22. Show all work and explain each step.

Answer 1

i^22 = i^20 x i^2 = 1 x -1 = -1

i raised to any power divisible by 4 = 1

20 is divisible by 4

i^4 = 1

i^20 = i^4 x i^4 x i^4 x i^4 x i^4 = 1x1x1x1x1 = 1