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

question 16

Multiple Choice

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

• A) 19,683
• B) 6,561
• C) 2,187
• D) 46,656
• E) 243

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Definitions:

Operant Conditioning

A method of learning that occurs through rewards and punishments for behavior, through which an association is made between a behavior and a consequence.

Classical Conditioning

Learning process in which a neutral stimulus becomes associated with an innately meaningful stimulus and acquires the capacity to elicit a similar response.

Latent Learning

Learning that occurs without becoming apparent in the learner's behavior until it is demonstrated under different conditions.

Discovery Learning

A method of inquiry-based instruction, cognitive theory, and problem-solving that involves exploration and discovery within the learning process.