Comparing an empirical equation to tabulated data

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I have a multivariable exponential function (Y=kA^aB^b...) that I would like to compare to tabulated data that is supposed to be represented by the equation. I want to show that the equation is accurate in relative terms because determining k is not necessary, it's just the accuracy of the exponents that I am interested in.

One way I thought of doing it is dividing Y(x2)/Y(x1) per variable and comparing the jumps as per the equation to the jumps in the equation. Is there a more accurate way of doing this.

Thank you

Moustafa