SOLUTION: Hi! I have no clue as to how to solve, {{{i^-17}}}. Could you please help me?

SOLUTION: Hi! I have no clue as to how to solve, {{{i^-17}}}. Could you please help me?

Algebra.Com

Question 96726: Hi! I have no clue as to how to solve, . Could you please help me?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
i is the square root of -1, so i^2=-1 and (i^2)^2=1 or i^4=1

this means that you can divide the exponent of i by 4 and the remainder will be, in effect, the exponent

dividing -17 by 4 leaves a remainder of -1, so i^(-17)=i^(-1) or 1/i
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