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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Definitions:

Efficient-Market Hypothesis

The theory that all available information is already reflected in securities prices, therefore making it impossible to consistently achieve higher returns than the overall market.

Security Prices

The market price at which a financial security is traded.

Risk Level

The degree of uncertainty associated with the potential for loss or undesirable outcomes in an activity or decision.

Market Efficiency

A condition in financial markets where prices fully reflect all available information, leading to assets being priced accurately and trades being executed fairly.