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

question 24

Multiple Choice

Use DeMoivre's Theorem to find the indicated power of the following complex number.
$$( 5 + 5 \sqrt { 3 } i ) ^ { 6 }$$

• A) \(1,953,125\)
• B) 390,625
• C) 78,125
• D) \(1,000,000\)
• E) 3,125

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Definitions:

Common Stock

A type of equity security that represents ownership in a corporation, giving holders voting rights and a share in the company's profits.

Bondholder

An individual or entity that owns bonds issued by corporations or governments and is entitled to receive interest payments and the repayment of the principal.

Individual Bonds

Debt securities issued by entities such as corporations or governments to finance projects or operations, owned by the investors purchasing them.

Bond

A form of an interest-bearing note used by corporations to borrow on a long-term basis.