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Use the Binomial Theorem to Expand the Following Complex Number (3777i)3\left( - \frac { 3 } { 7 } - \frac { \sqrt { 7 } } { 7 } i \right) ^ { 3 }

Question 17

Multiple Choice

Use the Binomial Theorem to expand the following complex number. Write your answer in standard form.
(3777i) 3\left( - \frac { 3 } { 7 } - \frac { \sqrt { 7 } } { 7 } i \right) ^ { 3 }


A) 36343207343i\frac { 36 } { 343 } - \frac { 20 \sqrt { 7 } } { 343 } i
B) 36343+20749i\frac { 36 } { 343 } + \frac { 20 \sqrt { 7 } } { 49 } i
C) 3649207343i- \frac { 36 } { 49 } - \frac { 20 \sqrt { 7 } } { 343 } i
D) 27343+749i- \frac { 27 } { 343 } + \frac { \sqrt { 7 } } { 49 } i
E) 27343749i- \frac { 27 } { 343 } - \frac { \sqrt { 7 } } { 49 } i

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