Question
Prove that:
$\left(\frac{x^a}{x^b}\right)^{(a+b-c)} \cdot\left(\frac{x^b}{x^c}\right)^{(b+c-a)} \cdot\left(\frac{x^c}{x^a}\right)^{c+a-b}=1$.
$\left(\frac{x^a}{x^b}\right)^{(a+b-c)} \cdot\left(\frac{x^b}{x^c}\right)^{(b+c-a)} \cdot\left(\frac{x^c}{x^a}\right)^{c+a-b}=1$.
