Inverse Laplace for (e)^-5t*(t)^4

[bmed90]

Homework Statement

Find:

Inverse Laplace for x(t)= (e)^-5t*(t)^4 using laplace table and laplace properties.

Homework Equations

The Attempt at a Solution

Well, I have been working on this problem for a few days now and cannot seem to figure it out. The two functions are not separate terms being added together so I cannot simply say

L^-1{(e)^-5t} + L^-1{(t)^4} which I originally tried. This would result in

1/s+5 + 24/s^5 which would be easy but since the two functions are being multiplied it is throwing me off and I cannot find an answer through the tables.

 

[bmed90]

I found a better table, this post can be deleted