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

question 94

Multiple Choice

Use DeMoivre's Theorem to find the indicated power of the complex number.Write the result in standard form. $- 7 ( \sqrt { 3 } + i ) ^ { 5 }$

• A) \(112 \sqrt { 3 } - 112 i\)
• B) \(7 \sqrt { 3 } + 7 i\)
• C) \(- 112 \sqrt { 3 } + 112 i\)
• D) \(7 + 7 \sqrt { 3 } i\)
• E)​ \(112 \sqrt { 3 } + 112 i\)

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Definitions:

Supply Curve

A graphical representation showing the relationship between the price of a good and the quantity supplied.

Supply Curve

A graphical representation showing the relationship between the price of a good and the quantity of the good supplied.

Lowest-Cost Seller

A firm or an individual that can produce or supply goods or services at the lowest price compared to competitors, often due to efficiencies, scale, or technology.

Producer Surplus

The difference between the amount a producer receives from the sale of a product and the minimum amount they would be willing to accept for that product; essentially a measure of producer profitability and well-being.