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| Question 392293:  how do you solve/simplify
 i to the 34th power?
 ~thanks!
 Answer by Alan3354(69443)
      (Show Source): 
You can put this solution on YOUR website! how do you solve/simplify i to the 34th power?
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 The powers of i are cyclic.
 i = 1
 i^2 = -1
 i^3 = -i
 i^4 = 1
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 i^34 = i^32 * i^2
 = (i^4)^8 * i^2
 = 1^8 * i^2
 = i^2
 = -1
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 For i^n, divide n by 4 and keep the remainder
 = i^remainder
 
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