$$(\frac{x^{a}}{x^{b}})^{c}\times(\frac{x^{b}}{x^{c}})^{a}\times(\frac{x^{c}}{x^{a}})^{b}$$
$\left(x^{a-b}\right)^{c}\left(x^{b-c}\right)^{a}\left(x^{c-a}\right)^{b}$
$a\left(b-c\right)x^{b-c-1}\left(x^{a-b}\right)^{c}\left(x^{c-a}\right)^{b}\left(x^{b-c}\right)^{a-1}+b\left(c-a\right)x^{c-a-1}\left(x^{a-b}\right)^{c}\left(x^{b-c}\right)^{a}\left(x^{c-a}\right)^{b-1}+c\left(a-b\right)x^{a-b-1}\left(x^{b-c}\right)^{a}\left(x^{c-a}\right)^{b}\left(x^{a-b}\right)^{c-1}$
