Question: How do I distribute exponents?

As part of the class I am teaching in biofluid mechanics, the students are learning about the Buckingham Pi theory for finding dimensionless groups (pi-groups).  The process involves the dimensions of parameters in terms of their basic units of measure: mass, M, length, L, and time, T.  Fore example, fluid density is M/L3 .  A typical step is to represent a product of parameters in terms of these measures raised to exponents.  Here is an example


where the exponents a,b,c are to be determined. What command(s) will massage this form to look like

Ma+b  L2c-3b-a T-a  ?


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