Comment #15 on issue 1374 by aaron.j.gardner: simplify(x**2-x**2.0) does  
not yield 0.
http://code.google.com/p/sympy/issues/detail?id=1374

My two cents: It's perhaps worth noting that (x**2)**2.0 does not become  
x**4 (or x**4.0
for that matter) as expected.

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