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You should provide some assumptions about x so that the equality becomes true, for example:

sage: assume(x>0)
sage: bool(sqrt(x^3)/sqrt(x^2) == sqrt(x))
True

You should provide some assumptions about x so that the equality becomes true, for example:

sage: assume(x>0)
sage: bool(sqrt(x^3)/sqrt(x^2) == sqrt(x))
True

Note however that the assumption system is pretty weak.