Python| sympy.powdenest() 方法

借助sympy.powdenest()方法，我们可以使用以下恒等式转换数学表达式 -

(xa)b = xab

Syntax: powdenest(expression, force)

Parameters:
expression – It is the mathematical expression which needs to be converted.
force – It should always be equal to true for the expression to convert without checking their validity.

Returns: Returns a converted mathematical expression corresponding to the input expression.

示例 #1：
在这个例子中，我们可以看到通过使用sympy.powdenest()方法，我们可以将数学表达式转换为幂。

# import sympy
from sympy import * 
  
x, a, b = symbols('x a b')
expr = (x**a)**b
  
print("Before Conversion : {}".format(expr))
    
# Use sympy.powdenest() method
smpl = powdenest(expr, force = true) 
    
print("After Conversion : {}".format(smpl)) 

输出：

Before Conversion : (x**a)**b
After Conversion : x**(a*b)

示例 #2：

# import sympy
from sympy import * 
  
x, a, b = symbols('x a b')
expr = (x**(a + b))**(a-b)
  
print("Before Conversion : {}".format(expr))
    
# Use sympy.powdenest() method
smpl = powdenest((x**(a + b))**(a-b), force = true) 
    
print("After Conversion : {}".format(smpl)) 

输出：

Before Conversion : (x**(a + b))**(a - b)
After Conversion : x**((a - b)*(a + b))