Use De Moivre's Theorem to Find the Indicated Power of the Complex

question 100

Multiple Choice

Use De Moivre's Theorem to find the indicated power of the complex number. Write your answer in standard form a + bi.
- $( - \sqrt { 3 } + i ) ^ { 6 }$

• A) -64
• B) \(- 64 \sqrt { 3 } + 64 i\)
• C) \(64 \mathrm { i }\)
• D) \(64 - 64 \sqrt { 3 } i\)

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Definitions:

Squared Deviation

The squared differences between each observation and the mean, used as part of the calculation for variance.

Variance

A measure of the dispersion representing the average of the squared differences from the Mean.

Score

A numerical or categorical representation of a performance, achievement, or the outcome of an assessment.

Mean

The arithmetic average of a set of values, calculated by dividing the sum of the values by the number of values.