TeX Quellcode:

{ \left(\dfrac{1}{2}\left(\cos\left(\dfrac{\pi}{8} \right)+i \sin\left(\dfrac{\pi}{8} \right) \right) \right)^4 \; = \; \left(\dfrac{1}{2}\right)^4 \left(\cos\left(4 \cdot \dfrac{\pi}{8} \right)+i \sin\left(4 \cdot \dfrac{\pi}{8} \right) \right) \; = \; \dfrac{1}{16} \left(\cos\left(\dfrac{\pi}{2}\right)+i \sin\left(\dfrac{\pi}{2}\right) \right) \; = \; \dfrac{1}{16}i}