powers of i
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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)