Prove that: (x^a x^b )^ (a+b) (x^b x^c )^ (b+c) (x^c x^a )^ (c+a)… - Vidyadip

Question

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

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