Invert the results of Buckingham PI theorem.

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Suppose I got one of the groups are $\frac{vt}{L}$,

$v=M^0L^1t^{-1}$, $t=M^0L^0t^1$, $L=M^0L^1t^0$.

Can I change $\frac{vt}{L}$ to $\frac{L}{vt}$, both them are dimensionless.