$$(a^{\frac{1}{x-y}})^{\frac{1}{x-z}}\times(a^{\frac{1}{y-z}})^{\frac{1}{y-x}}\times(a^{\frac{1}{z-x}})^{\frac{1}{z-y}}$$
$\left(a^{-\frac{1}{x-z}}\right)^{-\frac{1}{y-z}}\left(a^{\frac{1}{y-z}}\right)^{-\frac{1}{x-y}}\left(a^{\frac{1}{x-y}}\right)^{\frac{1}{x-z}}$
