Answer
$z\cdot w=6(cos0+i\ sin0)=6$,
$\frac{z}{w}=\frac{3}{2}(cos(\frac{8\pi}{5})+i\ sin(\frac{8\pi}{5}))$
Work Step by Step
1. Use the given numbers, we have
$z\cdot w=6(cos(\frac{9\pi}{5}+\frac{\pi}{5})+i\ sin(\frac{9\pi}{5}+\frac{\pi}{5}))=6(cos(2\pi)+i\ sin(2\pi))=6(cos0+i\ sin0)=6$
2. we have
$\frac{z}{w}=\frac{3}{2}(cos(\frac{9\pi}{5}-\frac{\pi}{5})+i\ sin(\frac{9\pi}{5}-\frac{\pi}{5}))=\frac{3}{2}(cos(\frac{8\pi}{5})+i\ sin(\frac{8\pi}{5}))$
