Use DeMoivre's Theorem to Find the Indicated Power of the Following

question 45

Multiple Choice

Use DeMoivre's Theorem to find the indicated power of the following complex number. $\left[ - 2 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right) \right] ^ { 6 }$

• A)-4
• B)-8
• C) \(64 + 64 \sqrt { 3 }\)
• D) \(32 + 32 \sqrt { 3 }\)
• E)8

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