When there is a conflict between two "attractors" I am giving the one
that appears earlier in the expression the precedence. This gives a
logical 'left to right' processing behavior where the first root from
left to right gets first option of joining with preceding bases. Does
this look right or should the xy have gotten the update instead of cx:
>>> x*y*sqrt(x*y)*sqrt(x*c)*c
c*x*y*(c*x)**(1/2)*(x*y)**(1/2)
>>> powsimp(_)
y*(c*x)**(3/2)*(x*y)**(1/2)
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