sympy中指数与和的指数相乘

Question

如何使用sympy将exp（a * x）* exp（b * x）形式的表达式转换为exp（a * x + b * x）？

起点类似于：

from sympy import symbols, exp
from sympy import exp
x, a, b = symbols('x, a, b', real=True)
f = exp(a*x)*exp(b*x)

逆变换已在[1]中进行了解释

[1] Sympy: Multiplications of exponential rather than exponential of sum

Answer 1

我发现powsimp可以满足您的要求

from sympy import symbols, exp
from sympy import exp, powsimp
x, a, b = symbols('x, a, b', real=True)
f = exp(a*x)*exp(b*x)
powsimp(f)

输出

exp(a*x + b*x)

powdenest也（在这种情况下）执行相同操作

Reference至powsimp

Reference至powdenest

Answer 2

simplify命令完成工作

from sympy import symbols, simplify, exp
x, a, b = symbols('x, a, b', real=True)
f = exp(a*x)*exp(b*x)
fs = simplify(f)

输出

>>> f
exp(ax)exp(bx)
>>> fs
exp(x(a + b))