SOLUTION: i^63= how do I solve this? I know the answer is -i

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Question 443558: i^63=
how do I solve this?
I know the answer is -i
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Note that i^4 = 1, so we can factor lots of terms out:



i raised to some power carries a cyclic pattern, which corresponds to the rotation of points around the complex plane (1, i, -1, -i). The following pattern holds, where k is some integer: