Find Powers of Complex Numbers in Polar Form
- $\left[ 10 \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right) \right] ^ { 3 }$

Multiple Choice

Find Powers of Complex Numbers in Polar Form
- $\left[ 10 \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right) \right] ^ { 3 }$

A) $- 500 \sqrt { 2 } + 500 \sqrt { 2 } \mathrm { i }$
B) $50 \sqrt { 2 } + 50 \sqrt { 2 } \mathrm { i }$
C) $15 \sqrt { 2 } + 15 \sqrt { 2 } \mathrm { i }$
D) $5 \sqrt { 2 } + 5 \sqrt { 2 } \mathrm { i }$