SOLUTION: how do you simplify i to the 67 power

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Question 606641: how do you simplify i to the 67 power
Answer by nerdybill(7384) About Me  (Show Source):
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how do you simplify i to the 67 power
.
Four possible values of i^n:
i = i
i^2 = -1
i^3 = -i
i^4 = -i
.
67 modulo 4 (the remainder of 67/4) is 3
so, i^3 = -i
.
Therefore,
i^67 = -i