MCQ
$\left(\frac{-1+i \sqrt{3}}{1-i}\right)^{30}$ ની કિમત શોધો
- A$2^{15} i$
- B$-2^{15}$
- C$-2^{15} i$
- D$6^{5}$
$=\frac{2^{30} \cdot \omega^{30}}{\left((1- i )^{2}\right)^{30}}$
$=\frac{2^{30} \cdot 1}{\left(1+ i ^{2}-2 i \right)^{15}}$
$=\frac{2^{30}}{-2^{15} \cdot i ^{15}}$
$=-2^{15} i$
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