SOLUTION: 1/i^57 how do you work on this problem to get the answer. It is one over i with the square root of 57

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Question 1175431: 1/i^57 how do you work on this problem to get the answer. It is one over i with the square root of 57
Found 3 solutions by ewatrrr, greenestamps, Alan3354:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
IF 
The task it appears is to rationalize the denominator 
by Multiplying both numerator and denominator by i√57 
Note: i^2 = -1
 
Wish You the Best in your Studies.


Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


I don't know how the other tutor got a square root into this problem....

The given expression is



In mostly all applications, we don't want to leave an imaginary number in the denominator. We want to rationalize the denominator by multiplying by some power of i to make the denominator a real number.

i^(4n) is equal to 1 for all integers n. So rationalize the expression by multiplying numerator and denominator by i^3, so that the exponent in the denominator is a multiple of 4.
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
1/i^57 how do you work on this problem to get the answer. It is one over i with the square root of 57
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1/i^57 is not a problem.
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