Question

simplify the expression e^x times 6e^3x-1

Answer 1

So we are working with\[e ^{x} * 6e^{3x + 1}\]
If the bases are the same, then we can simply add their powers together if we are multiplying to exponential objects.
3x + 1 + x = 4x + 1
So our answer becomes

\[6e ^{4x+1}\]

Answer 2

Looks like I didn't read your equation correctly. I read the power of the second as 3x+1. The final answer should be 6e^4x-1.

Answer 3

thankyou very much! what about 5e^-2x/e4x times (e^-2x)^2/10e^-x