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 $z = re^{i\theta}.$