$$\frac{(x^{2}-\frac{1}{y^{2}})^{x}(x-\frac{1}{y})^{y-x}}{(y^{2}-\frac{1}{x^{2}})^{y}(y+\frac{1}{x})^{x-y}}$$
$\frac{\left(x-\frac{1}{y}\right)^{y-x}\left(y+\frac{1}{x}\right)^{y-x}\left(x^{2}-\frac{1}{y^{2}}\right)^{x}}{\left(y^{2}-\frac{1}{x^{2}}\right)^{y}}$
