SOLUTION: i^103 how do I simplify this? something about dividing by four and taking the remainder??

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Question 372399: i^103
how do I simplify this?
something about dividing by four and taking the remainder??
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
i^103 = i^(100+3)=i^100*i^3 = (i^4)^25*i^3 = (1)^25*i^3 = i^3 = -i

Answer: i^103 = -i