powers of i

i⁶

-1 (i⁴ × i² = 1 × -1)

i¹⁰

-1 (i⁴ × i⁶ = 1 × -1)

i²

-1 (√-1)² // remove square root of √-1

i³

-i (i² × i¹ = -1 × i)

i⁷

-i (i⁴ × i³ = 1 × -i)

i¹¹

-i (i⁴ × i⁷ = 1 × -i)

i⁴

1 (i² × i² = -1 × -1)

i⁸

1 (i⁴ × i⁴ = 1 × 1)

i¹²

1 (i⁴ × i⁸ = 1 × 1)

i⁵

i (i⁴ × i = 1 × i)

i⁹

i (i⁴ × i⁵ = 1 × i)

i¹

i (no change)