SymPy should not to do anything automatically that is not generally true.
In this case, making x nonnegative is sufficient to get it to do what you
want.
>>> var('x', nonnegative=True)
x
>>> (x**8)**(Rational(1,4))
x**2
If you want that done without creating a new 'x' use powdenest with
force=True:
>>> (x**8)**(Rational(1,4))
(x**8)**(1/4)
>>> powdenest(_, force=True)
x**2
On Wednesday, December 20, 2017 at 8:05:57 PM UTC-6, Miguel González Duque
wrote:
>
> Doing some calculations, I came to the following sympy expression:
> `x**10*y**5*(x**8)**(-1.25)`, I tried to simplify it (because, if one
> performs the multiplication manually, it is evident that
> x**10*y**5*(x**8)**(-1.25) = y**5. I realized that this happens even with x
> alone: if one considers the expression `(x**8)**(0.25)` (or even
> `(x**8)**(Rational(1,4))`), it doesn't simplify any further. *Is there a
> way of simplifying these expressions?*
>
> Thanks.
>
>
>
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