Properties of complex conjugates
1. $ \overline{z+w} = \overline{z} + \overline{w} $
2. $ \overline{zw} = \overline{z}\overline{w} $
3. $ \overline{z^{n}} = \overline{z}^{n} $
4. $ z\overline{z} = \vert z \vert^{2} $
5. $ \frac{z}{w} = \frac{z\overline{w}}{w\overline{w}} = \frac{z\overline{w}}{\vert w \vert^{2}} $
