SOLUTION: can someone please help show me how to sovle the following problem? i^37

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Question 235046: can someone please help show me how to sovle the following problem? i^37
Answer by Alan3354(21550) About Me  (Show Source):
You can put this solution on YOUR website!
i^37
= i
--------
i^2 = -1
i^4 = 1
i^8 = 1
Any multiple of 4 in the exponent --> 1
--------------
37 = 9*4 + 1
Divide the exponent by 4 and use the remainder
i^37 = i^1
= i