$$\sqrt[5]{96x^{6}y^{7}z^{8}}$$
$2\sqrt[5]{3}x^{\frac{6}{5}}y^{\frac{7}{5}}z^{\frac{8}{5}}$
$\frac{12\sqrt[5]{3x}y^{\frac{7}{5}}z^{\frac{8}{5}}}{5}$