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 $. $\text { Determine } z \text {. Express your answer in standard form. }$

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The Answer of 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 $. $\text { Determine } z \text {. Express your answer in standard form. }$

In Problems 15−16 15-16 15−16 , Assume That w=6(cos⁡π10+isin⁡π10) w=6\left(\cos \frac{\pi}{10}+i \sin \frac{\pi}{10}\right) w=6(cos10π​+isin10π​)

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