Use DeMoivre's Theorem to Find the Indicated Power of the Complex

Multiple Choice

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. $\left[ - 5 \left( \cos \left( 210 ^ { \circ } \right) + i \sin \left( 210 ^ { \circ } \right) \right) \right] ^ { 10 }$

A) $- \frac { 9765625 } { 2 } + \frac { 9765625 \sqrt { 3 } } { 2 } i$
B) $\frac { 9765625 } { 2 } + \frac { 9765625 \sqrt { 3 } } { 2 } i$
C) $\frac { 9765625 } { 2 } - \frac { 9765625 \sqrt { 3 } } { 2 } i$
D) $\frac { 9765625 \sqrt { 3 } } { 2 } - \frac { 9765625 } { 2 } i$
E) $- \frac { 9765625 \sqrt { 3 } } { 2 } + \frac { 9765625 } { 2 } i$