Write the Expression in the Standard Form a + Bi $\left[ \sqrt { 3 } \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right) \right] ^ { 4 }$

question 252

Multiple Choice

Write the expression in the standard form a + bi.
- $\left[ \sqrt { 3 } \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right) \right] ^ { 4 }$

• A) \(- \frac { 9 } { 2 } - \frac { 9 \sqrt { 3 } } { 2 } \mathrm { i }\)
• B) \(- \frac { 9 } { 2 } + \frac { 9 \sqrt { 3 } } { 2 } \mathrm { i }\)
• C) \(- \frac { 9 \sqrt { 3 } } { 2 } + \frac { 9 } { 2 } \mathrm { i }\)
• D) \(- \frac { 9 \sqrt { 3 } } { 2 } - \frac { 9 } { 2 } \mathrm { i }\)

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