Answer
$w_0=2[cos~0+i~sin~0]$
$w_1=2[cos(\frac{2\pi}{5})+i~sin(\frac{2\pi}{5})]$
$w_2=2[cos(\frac{4\pi}{5})+i~sin(\frac{4\pi}{5})]$
$w_3=2[cos(\frac{6\pi}{5})+i~sin(\frac{6\pi}{5})]$
$w_3=2[cos(\frac{8\pi}{5})+i~sin(\frac{8\pi}{5})]$
Work Step by Step
$r=|z|=32$
$θ=0~~$ (Positive real axis)
Polar form:
$z=32(cos~0+i~sin~0)$
$w_k=\sqrt[5] {32}[cos(\frac{0+2k\pi}{5})+i~sin(\frac{0+2k\pi}{5})]$
$w_0=2[cos~0+i~sin~0]$
$w_1=2[cos(\frac{2\pi}{5})+i~sin(\frac{2\pi}{5})]$
$w_2=2[cos(\frac{4\pi}{5})+i~sin(\frac{4\pi}{5})]$
$w_3=2[cos(\frac{6\pi}{5})+i~sin(\frac{6\pi}{5})]$
$w_3=2[cos(\frac{8\pi}{5})+i~sin(\frac{8\pi}{5})]$
