\(\frac{32(cos(7\pi/4)+i sin(7\pi/4))} {4\sqrt2(cos(5\pi/6)+i sin(5\pi/6))}\\~\\ = \frac{32(e^{(7\pi/4)i})} {4\sqrt2(e^{(5\pi/6)i})}\\~\\ = \frac{8(e^{(7\pi/4)i-(5\pi/6)i})} {\sqrt2}\\~\\ = 4\sqrt2(e^{(7\pi/4)i-(5\pi/6)i})\)
you can check and finish it.
