SOLUTION: i^55

Question 133841: i^55
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
because anything to the zero power is 1
because anything to the 1 power is itself
by definition of i
because

, and

And the pattern repeats forever.

So, the process is to take the exponent on i, 55 in this case and perform integer division with a divisor of 4. Integer division is the first kind of division you learned in the 2nd or 3rd grade where you got a quotient and a remainder. Then raise i to the power of the remainder.

, so
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