Python | sympy.expand_pow_exp() method

With the help of sympy.expand_pow_exp() method, we can expand mathematical expression using following identity – 

 x(a+b) = xa.xb

Syntax: expand_pow_exp(expression) 
Parameters:
expression – It is the mathematical expression which needs to be expanded.
Returns: Returns an expanded mathematical expression corresponding to the input expression. 

Example #1:
In this example we can see that by using sympy.expand_pow_exp() method, we can expand a mathematical expression in terms of power. 

Python3

# import sympy
from sympy import *

x, a, b = symbols('x a b')
expr = x**(a + b)

print("Before Expansion : {}".format(expr))

# Use sympy.expand_pow_exp() method
smpl = expand_pow_exp(expr)

print("After Expansion : {}".format(smpl))

Output:

Before Expansion : x**(a + b)
After Expansion : x**a*x**b

Example #2:

Python3

# import sympy
from sympy import *

x, a, b = symbols('x a b')
expr = x**(2 * a + 3 * b)

print("Before Expansion : {}".format(expr))

# Use sympy.expand_pow_exp() method
smpl = expand_pow_exp(expr)

print("After Expansion : {}".format(smpl))

Output:

Before Expansion : x**(2*a + 3*b)
After Expansion : x**(2*a)*x**(3*b)