Algebra
# De Moivre's Theorem

Which of the following is equivalent to the conjugate of the complex number \(4e^{i\pi /4}?\)

The complex number \(z = -4 + 3i\) can be converted into the polar form \(z = re^{i\theta}.\)

What is the value of \(r?\)

If \(z = \sqrt{3} + i\), then what is the value of \(z^6?\)

Hint: You might want to start by converting \(\sqrt{3} + i\) into the form \(z = re^{i\theta}.\)

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