SOLUTION: When dealing with imaginary numbers, how do you simplify? I^12 I know the answer is 1 but how do I get the answer with remembering the cycle?

SOLUTION: When dealing with imaginary numbers, how do you simplify? I^12 I know the answer is 1 but how do I get the answer with remembering the cycle?

Algebra.Com

Question 961244: When dealing with imaginary numbers, how do you simplify?
I^12
I know the answer is 1 but how do I get the answer with remembering the cycle?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
i^12
--------
i^2 = -1
i^3 = -i
i^4 = 1
--------
i^12 = (i^4)^3 = 1^3
= 1

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