Find Powers of Complex Numbers in Polar Form
- $\left[ 2 \sqrt { 2 } \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right) \right] ^ { 5 }$

Multiple Choice

Find Powers of Complex Numbers in Polar Form
- $\left[ 2 \sqrt { 2 } \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right) \right] ^ { 5 }$

A) $- 128 + 128 i$
B) $- 64 + 64 i$
C) $- \sqrt { 2 } + \sqrt { 2 } i$
D) $- 64 \sqrt { 2 } + 64 \sqrt { 2 } i$