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Fix a positive integer n and a complex number w. Find all solutions to $z^n=w.$\\  (Hint:write w in terms of polar coordinates.)  \begin{proof}  Let $n \in \mathbb{Z}$ and $w \in \mathbb{C}$. \mathbb{C}.$  Then $z^n=re^{i\theta}$, where $r$ and $\theta \in \mathbb{R}$\\ \begin{align}  So,  z^n=&re^{i\theta}\\ lnz^n=&lnre^{i\theta}\\