SOLUTION: Please explain to me how to do these types of problems: i^55

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Question 528384: Please explain to me how to do these types of problems: i^55
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please explain to me how to do these types of problems: i^55
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i^1 = 1
i^2 = -1
i^3 = -i
i^4 = 1
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i%5E%284n%29+=+1
i%5E55+=+i%5E52%2Ai%5E3+=+1%2Ai%5E3
i%5E55+=+-i
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Divide the exponent by 4.
55/4 = 13 remainder 3
i%5E55+=+i%5Eremainder