help me use the number 'e' as a natural base.

Question

You have to be much more specific. This question cannot be answered, it is very general. Any number can be used as a base, including 10, commonly used in the US.

Can you walk me through this problem:

(3e^(-4x))^2

What do you want to do? You cant calculate it without knowing x. Something needs to be done.

I'm trying to simplify the problem, but I don't know where to begin

Simplify:
(3e^(-4x))^2
3^2 * e^-8x
9 /e^8x

Remember that (a^b)^j = a^kb