SOLUTION: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form a + bi.) (1 − i)^10

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Question 1135994: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form
a + bi.)
(1 − i)^10

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
1 - i = cis(sqrt%282%29,7pi%2F4).


Therefore, by the de Moivre's Theorem


%281-i%29%5E10 =cis(%28sqrt%282%29%29%5E10,70pi%2F4) = cis(2%5E5,6pi%2F4) = cis(32,3pi%2F2) = -32*i.    ANSWER