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Testing that the elements are a list are exponential


Dear friends, 

I have a  make a function where  all element of a list  should 
be  exponentials or cero. 
Here is an example

lst1 = { 0, 1.4 Exp [-3 t] + 1.2 Exp [- t], 0, 0.24 Exp [a t]}

F[x_] := x /. a_*E^(s_*t) -> (a*(-1 + E^(s*t)))/s

It works 

F[lst1]

But I need define F[x_?Test] where ?Test check that  all element of list  are 
exponentials or cero. How I can build the test? 

HNY every boy

Guillermo Sanchez


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