Find the Given Power $( - 5 \sqrt { 2 } + 5 \sqrt { 2 } i ) ^ { 3 }$

Multiple Choice

Find the given power. Write answer in rectangular form.
- $( - 5 \sqrt { 2 } + 5 \sqrt { 2 } i ) ^ { 3 }$

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