SOLUTION: Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form.
(5-5 square root of 3i) to the 4th power
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(5-5 square root of 3i) to the 4th power
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Question 620631: Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form.
(5-5 square root of 3i) to the 4th power Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! (5-5 square root of 3i) to the 4th power
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z = sqrt(5^2 + 75) = 10
t = atan(-sqrt(3)) = 300 degs (Q4)
--> 10cis(300)
^4 = 10000cis(1200)
= 10000*-0.5 + i*10000*sqrt(3)/2
= -5000 + i*5000sqrt(3)
