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

question 70

Multiple Choice

Use DeMoivre's Theorem to find the indicated power of the following complex number. $( - 3 + 3 i ) ^ { 4 }$

• A)-5,184
• B)46,656
• C)5,184
• D)186,624
• E)7,776

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Definitions:

Weber's Law

A principle of perception that states the smallest change in a stimulus that can be detected is a constant proportion of the stimulus level.

Fechner's Law

A principle in psychophysics stating that the perceived intensity of a stimulus changes proportionally to the logarithm of the actual stimulus intensity.

Thorndike's Law

A principle stating that behaviors followed by positive outcomes are more likely to be repeated, whereas behaviors followed by negative outcomes are less likely to be repeated.

Ames Room

An optical illusion room designed to manipulate perceived size and perspective, where objects appear larger or smaller than they really are.