Step-by-step explanation:
i¹ = i
i² = i×i = -1
i³ = -1 × i = -i
i⁴ = -i×i = - -1 = 1
i⁵ = 1×i = i
...
so, when the exponent of i modulo 4 (the remainder when dividing by 4) = 0, then the result is 1.
= 1, then the result is i
= 2, then the result is -1
= 3, then the result is -i
233 modulo 4 = 1 (233/4 = 58, remainder 1).
so, the result is i (the third answer option).
