SOLUTION: Find (1 - i)4. Show your work using DeMoivre’s Theorem.

Question 1206024: Find (1 - i)4. Show your work using DeMoivre’s Theorem.
Answer by ikleyn(52908) (Show Source): You can put this solution on YOUR website!
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Find (1 - i)4. Show your work using DeMoivre’s Theorem.
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Actually, you want to find  (1-i)^4 =   using DeMoivre’s formula.


So, you start from complex number z = 1-i.


It has the modulus of   = sqrt(2) 

and the argument  ,  so we can write it in this "cis"-form  z = .


Then, according to the deMoivre's formula

     =  =  = 4*(-1) = -4.


ANSWER.   = -4.

Solved.

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