\[{{(-\sqrt{3}+i)}^{53}}\] where \[{{i}^{2}}=-1\] is equal to [AMU 2000]

\[{{2}^{53}}\,\left( \frac{\sqrt{3}}{2}+\frac{1}{2}i \right)\]

\[{{(-\sqrt{3}+i)}^{53}}\] where \[{{i}^{2}}=-1\] is equal to [AMU 200

1.	\[{{(-\sqrt{3}+i)}^{53}}\] where \[{{i}^{2}}=-1\] is equal to [AMU 2000]
A.	\[{{2}^{53}}(\sqrt{3}+2i)\]
B.	\[{{2}^{52}}(\sqrt{3}-i)\]
C.	\[{{2}^{53}}\,\left( \frac{\sqrt{3}}{2}+\frac{1}{2}i \right)\]
D.	\[{{2}^{53}}(\sqrt{3}-i)\]
Answer» D. \[{{2}^{53}}(\sqrt{3}-i)\]

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\[{{(-\sqrt{3}+i)}^{53}}\] where \[{{i}^{2}}=-1\] is equal to [AMU 2000]

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