SOLUTION: find the value of the complex number {{{i^5}}}

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Question 87260: find the value of the complex number i%5E5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
i%5E5 Start with the given expression

i%5E2%2Ai%5E2%2Ai Factor i%5E5

Since i%5E2=-1 we can replace i%5E2 with -1

%28-1%29%2A%28-1%29%2Ai

i Multiply

So i%5E5=i