Comment #47 on issue 1766 by asmeurer: expand(power_base=True) is too aggressive
http://code.google.com/p/sympy/issues/detail?id=1766

As for seperatevars((exp(2*x)-exp(2*y))/(exp(x)-exp(y)) == exp(x) + exp(y)), that isn't really separated, unless we want to have it do additive separation too (which should somehow be separate I think). Otherwise, isn't that just the job of cancel? By the way, simplify
does it right in the new polys branch.

To answer you question in the commit message about the ODE test, it looks like the 1766 fixed it somehow (based on a bisect).

# shouldn't this go to (z**y)**2 automatically?

I would rather have a function that does it than making it happen automatically in Pow. Once something happens automatically, it is
impossible to make it not happen.

# you can only extract numbers of the same sign

What is the rational behind this?


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