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

question 73

Multiple Choice

Use DeMoivre's Theorem to find the indicated power of the following complex number.
$$\left[ 2 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right) \right] ^ { 12 }$$

• A) 2048
• B) 4,096
• C) \(4,096 + 4096 \sqrt { 3 }\)
• D) \(2,048 + 2048 \sqrt { 3 }\)
• E) \(- 4,096\)

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