Summation of exponentials, as a multiplication of exponentials?

[EngWiPy]

Hello,

Can we write a summation of exponentials, as a multiplication of exponentials?

Regards

 

[CompuChip]

Only like
$$e^a e^b = e^{a + b}$$

There is no such rule as
$$e^a + e^b = e^{a b}$$
or something like that.

 

[CRGreathouse]

Best I can do is e^a + e^b = e^a * (1 + e^(b-a)).

 

[EngWiPy]

Yes I agree with both of you. Thank you