Powers and Roots of Complex Numbers

9000070102

Level: 
A
Evaluate the following complex number. \[ \left (\cos \frac{\pi } {3} + \mathrm{i}\sin \frac{\pi } {3}\right )^{10} \]
\(-\frac{1} {2} -\mathrm{i}\frac{\sqrt{3}} {2} \)
\(-\frac{\sqrt{3}} {2} -\frac{1} {2}\mathrm{i}\)
\(-\frac{\sqrt{3}} {2} + \frac{1} {2}\mathrm{i}\)
\(-\frac{1} {2} + \mathrm{i}\frac{\sqrt{3}} {2} \)