Simplifying expressions fully using Sympy with symbols

user_15217500 0
Viewed 37

I am new to using Sympy and I want to simplify an expression using symbols. So far here is my code.

a,b,x,y,z = symbols('a b x y z')
d = ((a**3 * b)**2 * b ** 4)**(1/3)
print(simplify(d))

Which returns

(a**6*b**6)**0.333333333333333

I would like it to return a^2 b^2 as in the following image

It would also be nice for sympy to return the steps it used, but this seems to be exceedingly difficult to figure out so this is not required but would definitely be helpful.

expression

sympy python
1 Answers

If you declare the symbols to be nonnegative, the simplification will happen automatically:

>>> a, b = symbols('a b', nonnegative=True)
>>> ((a**3 * b)**2 * b ** 4)**(S(1)/3)
a**2*b**2

Sometimes powsimp or expand with the force=True option will work for expressions involving powers. But in this case, the assumptions need to be made.

user_10891610
Related