How should I interpret the exponent of my units? (meters raised to the power of a number in the range $0 - 1$)

Question

In my research I'm working with river profiles. We always define a concavity index which is a number in the range from 0.2 to 0.6. That index is necessary for the calculation of another indicator called Ksn. The units of Ksn (sort of a gradient that consider also other parameters related to the fluvial system) are in meters when the concavity index is equal to 0.5. When concavity is another value within that range, meters are raised to the power of some number since Ksn units are meters ^(1-2m) been m in this case the concavity index. How can I interpret this unit measure? What is a meter raised to the power of, let's say, 0.72? Thanks in advance.