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De Moivre’s theorem and its application

Question: By using De Moivre’s theorem, simplify the following expressions: (1) \(\left(\frac{1+\sqrt{3}i}{2}\right)^{10}\) (2) \(\left(\frac{\sqrt{3}+i}{1+i}\right)^{6}\) Answer: De Moivre’s theorem reads \[ […]