Use the Binomial Theorem to Expand the Following Complex Number $\left( - \frac { 3 } { 7 } - \frac { \sqrt { 7 } } { 7 } i \right) ^ { 3 }$

Use the Binomial Theorem to expand the following complex number. Write your answer in standard form.
$\left( - \frac { 3 } { 7 } - \frac { \sqrt { 7 } } { 7 } i \right) ^ { 3 }$

A) $\frac { 36 } { 343 } - \frac { 20 \sqrt { 7 } } { 343 } i$
B) $\frac { 36 } { 343 } + \frac { 20 \sqrt { 7 } } { 49 } i$
C) $- \frac { 36 } { 49 } - \frac { 20 \sqrt { 7 } } { 343 } i$
D) $- \frac { 27 } { 343 } + \frac { \sqrt { 7 } } { 49 } i$
E) $- \frac { 27 } { 343 } - \frac { \sqrt { 7 } } { 49 } i$

Correct Answer:

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