( -1 2 + 3 2 i ) ^ 1000 = - Vidyadip

MCQ

${{\left( -\frac{1}{2}+\frac{\sqrt{3}}{2}i \right)}^{1000}}=$

A
$\frac{1}{2}+\frac{\sqrt{3}}{2}i$
B
$\frac{1}{2}-\frac{\sqrt{3}}{2}i$
✓
$-\frac{1}{2}+\frac{\sqrt{3}}{2}i$
D
None of these

✓

Answer

Correct option: C.

$-\frac{1}{2}+\frac{\sqrt{3}}{2}i$

C

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