Use the Binomial Theorem to Find the Value of the Complex

question 267

Multiple Choice

Use the Binomial Theorem to find the value of the complex number raised to the given power. Recall that $i = \sqrt { - 1 }$
- $$( - 5 + 3 i ) ^ { 4 }$$

• A) \(- 644 - 960 i\)
• B) \(644 + 960 i\)
• C) \(644 - 960 i\)
• D) \(- 644 + 960 i\)

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Definitions:

Promissory Note

A promissory note is a financial instrument that contains a written promise by one party to pay another party a determinate sum of money either on demand or at a specified future date.

Compounded Semi-Annually

The method of calculating interest on a principal where the interest is computed twice a year and each interest payment is added to the principal for future calculations.

Discounted Rate

A reduced price or rate from the original cost, typically applied to encourage prompt payment or purchase.

Compounded Annually

Interest on an investment calculated once a year on both the initial principal and the accumulated interest from previous periods.