Prove that: `((x^a)/(x^b))^(a^(2+a b+b^(2)))xx\ ((x^b)/(x^c))^(b^(2+b c+c^2))\ xx\ ((x^c)/(x^a))^(c^(2+c a+a^2))`

Explanation

To prove that

\[ \left(\frac{x^a}{x^b}\right)^{a^{2+ab+b^2}} \cdot \left(\frac{x^b}{x^c}\right)^{b^{2+bc+c^2}} \cdot \left(\frac{x^c}{x^a}\right)^{c^{2+ca+a^2}} = 1, \]

we will simplify each term step by step.

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