Find $$( 3 - \sqrt { 3 } i ) ^ { 3 }$$

question 27

Essay

Find $$( 3 - \sqrt { 3 } i ) ^ { 3 }$$ using DeMoivre's Theorem.

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Definitions:

Standard Form

A way of writing down very large or very small numbers easily in mathematics, or the general representation of a linear equation as Ax + By = C.

Hyperbola

A smooth curve located in a plane, characterized by its geometric characteristics or by the solutions of equations describing it.

Asymptotes

Lines that a curve approaches as it heads towards infinity.

Graph

A plot that illustrates the relationship between two or more variables, typically used in mathematics to display functions or data sets.