> Shouldn't it rather be when combine='exp'?  Base combination is when
> the exponents are the same but the bases are different, and exponent
> combination is when the bases are the same but the exponents are
> different.  Here the bases are the same (x*sqrt(x*y)) and the
> exponents are different (1 and 1/2).

OK

Does Maple simplify this `x**4*y*sqrt(x*y)*sqrt(x*sqrt(x*y))`?
Mathematica just shows the positive x and y result of
`(x**21*y**7)**(1/4)`.

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