Equation with constants with unknown units, can I know the value of unknown number only by rely on units?

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$A, B$ are constants with unknown units.

$n$ is an unknown integer.

I have the following:

len is quantity for length

$A \cdot (len)^2 + B$ represent electric potential.

$A \cdot (len)^{n-5}$ it's also represent electric potential.

In my exercise, I know that those expressions are represent the same electric potential(electric potential is continuous function).

Can I tell for sure that $n=7$?

Thanks.

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Yes. It does not matter what they are, just that they have the same units. As long as the units match between the two expressions, you are given that $[m^2]=[m^{n-5}],$ which tells you that $n-5=2$