SOLUTION: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form a + bi. (1 − i )^14

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Question 967688: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form
a + bi.
(1 − i )^14
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Do it like this one:
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(3sqrt 3 + 3i)^5
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r+=+sqrt%28%28ssqrt%283%29%29%5E2+%2B+3%5E2%29+=+sqrt%2827%2B9%29+=+6
Angle = atan(sqrt(3)/3) = 30 degrees
--> %286cis%2830%29%29%5E5
= 7776*cis(150)
= 7776%2A%28cos%28150%29+%2B+i%2Asin%28150%29%29
= -3338%2Asqrt%283%29+%2B+3338i