With the help of sympy.powsimp() method, we can simplify mathematical expressions using laws of indices involving powers.
Properties :
1) x**a*x**b = x**(a+b)
2) x**a*y**a = (xy)**a
Syntax: powsimp(expression)
Parameters:
expression – It is the mathematical expression which needs to be simplified.Returns: Returns a simplified mathematical expression corresponding to the input expression.
Example #1:
In this example we can see that by using sympy.powsimp() method, we can simplify any mathematical expression using laws of indices involving powers.
# import sympy from sympy import * x, a, b = symbols('x a b') expr = x**a * x**b print("Before Simplification : {}".format(expr)) # Use sympy.powsimp() method smpl = powsimp(expr) print("After Simplification : {}".format(smpl)) |
Output:
Before Simplification : x**a*x**b After Simplification : x**(a + b)
Example #2:
# import sympy from sympy import * x, a, b = symbols('x a b') expr = ((x**(2 * a + b))*(x**(-a + b))) print("Before Simplification : {}".format(expr)) # Use sympy.powsimp() method smpl = powsimp(expr) print("After Simplification : {}".format(smpl)) |
Output:
Before Simplification : x**(-a + b)*x**(2*a + b) After Simplification : x**(a + 2*b)
