[[CS518-HW1.pdf]] 1. $(-2+3i)^{2}$ $-5-12j $ 2. $(-2+3i)^{3}$ $ 46+9i $ 3. $e^{\frac{i\pi}{3}}$ $\huge \begin{align} \cos \frac{\pi}{3} + i\sin \frac{\pi}{3} \\ \frac{1}{2} +i\frac{\sqrt{ 3 }}{2} \end{align} $ 4. $\cos \frac{\pi}{3} e^{\frac{i\pi}{4}}$ $\huge \begin{align} \frac{\sqrt{ 2 }}{4}+i \frac{\sqrt{ 2 }}{4} \end{align} $ 5. $e^{\frac{i\pi}{3}}-e^{\frac{i\pi}{3}}$ $ \huge i \frac{\sqrt{ 3 }}{2} $ 6. $e^{3i \frac{\pi}{4}}$ $ \huge \begin{align} 3 \frac{\sqrt{ 2 }}{2}+\frac{3\sqrt{ 2 }}{2}i \end{align} $