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If 3 rational numbers x^(1//x),y^(1//y)a...

If `3` rational numbers `x^(1//x),y^(1//y)andz^(1//z)` are equal and `x^(yz)+y^(zx)+z^(xy)=729`, then find the value of `x^(1//x)`

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To solve the problem step by step, we will follow the reasoning laid out in the video transcript. ### Step 1: Set up the equations We are given that \( x^{1/x} = y^{1/y} = z^{1/z} \). Let's denote this common value as \( k \). Therefore, we have: \[ x^{1/x} = k, \quad y^{1/y} = k, \quad z^{1/z} = k \] ...
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