CPM Homework Help : PC3 Problem 13-25

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13-25.

Let $z=9\left(\cos\left(\frac{5\pi}{4}\right)+i\sin\left(\frac{5\pi}{4}\right)\right)$ .

What are the fourth roots of $z$ ?

Evaluate $z^{5}$ .

Hint:

$r=9,θ=\frac{5\pi}{4}$

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