# Simplifying a symbolic product of rational powers

I'm trying to symbolically evaluate a lot of equations that can consist of up to 10 parameters. The form of these expressions is a product/quotient of rational powers of the mentioned parameters, where the exponents are rational expressions containing a unknown number p. Here is a simplified example (containing parameters Bcr and Ft):

( (Ft Bcr)^(2 p + 4) * Ft^(23 p - 4) )
/ ( Bcr^(1/(2.5 p - 4)) * Ft^( (24 p + 4)/(3 p - 1) ) )^( 3 p - 6)


I would expect, that using Simplify, FullSimplify or another, similar function I could reduce this expression to a product like this:

Ft^F[p] *Bcr^G[p]


where F[p] and G[p] are some rational functions of p. Now I understand there is a problem with considering complex numbers, multiple roots etc. However, even if I use assumptions:

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