In Problems $15-16$ , Assume That $w=6\left(\cos \frac{\pi}{10}+i \sin \frac{\pi}{10}\right)$

Short Answer

In Problems $15-16$ , assume that $w=6\left(\cos \frac{\pi}{10}+i \sin \frac{\pi}{10}\right)$ is one of the five roots of a complex number $z$ . $\text { Determine } z \text {. Express your answer in standard form. }$