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If ax^(10)=by^(10)=cz^(10) and (1)/(x)+(...

If `ax^(10)=by^(10)=cz^(10)` and `(1)/(x)+(1)/(y)+(1)/(z)=1` then prove that `(ax^(9)+by^(9)+cz^(9))^(1/10)=a^(1/10)+b^(1/10)+c^(1/10)`

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