SOLUTION: how do u solve this. SIMPLIFY: i55- that is i to the 55th power... Help PLz!!

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Question 57252: how do u solve this.
SIMPLIFY:
i55- that is i to the 55th power...
Help PLz!!
Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
You only have 1 of 2 possiblities: 1 or -1. That's because i%5E2=-1. Note that i%5E55 can be rewritten as i%2Ai%5E54. Also note that i%5E54 can be rewritten as i%5E2 27 times; that means that i%5E54=-1 because i%5E2%2Ai%5E2=1. So we now have i%5E55=i%2Ai%5E54=i%2A%28-1%29=-i, or i%5E55=-i.