Find Powers of Complex Numbers in Polar Form
- $$\left[ 3 \left( \cos 15 ^ { \circ } + i \sin 15 ^ { \circ } \right) \right] ^ { 4 }$$

Multiple Choice

Find Powers of Complex Numbers in Polar Form
- $$\left[ 3 \left( \cos 15 ^ { \circ } + i \sin 15 ^ { \circ } \right) \right] ^ { 4 }$$

A) $\frac { 81 } { 2 } + \frac { 81 \sqrt { 3 } } { 2 } \mathrm { i }$
B) $\frac { 81 } { 2 } + \frac { 81 } { 2 } \mathrm { i }$
C) $\frac { 81 \sqrt { 3 } } { 2 } + \frac { 81 } { 2 } \mathrm { i }$
D) $81 \mathrm { i }$