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Powers of Complex Numbers (DeMoivre's Theorem)
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Powers of Complex Numbers (DeMoivre's Theorem)
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17. Graphing Complex Numbers / Powers of Complex Numbers (DeMoivre's Theorem) / Problem 4
Problem 4
Find [5(cos 75° + i sin 75°)]⁴ using DeMoivre's Theorem. Express the answer in rectangular form.
A
- (625√3)/2 + 625i/2
B
(625√2)/2 - 625i
C
625 + (625i√2)/2
D
625/2 - (625i√3)/2
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