Use de Moivre's Theorem to find the following. Write your answer in standard form.(3 − i)4

Question

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Solution 1

1. Break Down the Problem

To find $(3 - i)^4$ using de Moivre's Theorem, we first need to express the complex number in polar form.

2. Relevant Concepts

The polar form of a complex number $z = a + bi$ is given by:

Magnitude: $r = \sqrt{a^2 + b^2}$
Angle (argument): ( \theta = Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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