题目 Problem Find the roots of the equation z4=8−8i3z^4 = 8 - 8\mathrm{i}\sqrt{3}z4=8−8i3, giving your answers in the form reiθre^{\mathrm{i}\theta}reiθ, where r>0r > 0r>0 and −π≤θ<π-\pi \leq \theta < \pi−π≤θ<π. [5] 题目中文翻译 求方程 z4=8−8i3z^4 = 8 - 8\mathrm{i}\sqrt{3}z4=8−8i3 的根。答案写成 reiθre^{\mathrm{i}\theta}reiθ 的形式,其中 r>0r > 0r>0 且 −π≤θ<π-\pi \leq \theta < \pi−π≤θ<π。 解答