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

Answer

Correct option: C.
${{2}^{53}}\,\left( \frac{\sqrt{3}}{2}+\frac{1}{2}i \right)$
C

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