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