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Prove that: ((x^a)/(x^(b)))^(a^(2+a b+b^...

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))=1`

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