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If (y/z)^a (z/x)^b (x/y)^c=1, then prove...

If `(y/z)^a (z/x)^b (x/y)^c=1`, then prove that `(y/z)^((1)/(b-c))=(z/x)^((1)/(c-a))=(x/y)^((1)/(a-b))`.

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`(x/y)^((1)/(a-b))`
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