Simplify the following expression. Use positive exponents only.

(2x1y1)4(x4y4z4)2\displaystyle \frac{{\left(-{2}{x}^{{-{{1}}}}{y}^{{-{{1}}}}\right)}^{{-{{4}}}}}{{\left({x}^{{4}}{y}^{{4}}{z}^{{4}}\right)}^{{-{{2}}}}}