SOLUTION: 2-i^5 _____ i^3

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Question 958462: 2-i^5
_____
i^3

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2-i^5
_____
i^3
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= %282+-+i%5E5%29%2Fi%5E3
= %282+-+i%5E4%2Ai%29%2F%28i%5E2%2Ai%29
Since i%5E2+=+-1
= %282+-+i%29%2F%28-i%29
Multiply NUM and DEN by i
= %282i+-+i%5E2%29%2F%28-i%5E2%29
= %282i+%2B+1%29%2F%281%29
= 1 + 2i