SOLUTION: simplify i^47 show work

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Question 35618: simplify
i^47
show work
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
First, do you realize that i%5E2=-1 and that i raised to a power that is a multiple of 4 is 1? If you know those two facts, then break down
i%5E47=+i%5E44%2Ai%5E2%2Ai
i%5E47=+1%2A%28-1%29%2Ai=+-i

R^2 at SCC