How to Perform Inverse Laplace Transform for 1/(s+a)^n?

tony873004
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How do I do the inverse of this? 1/(s+a)n is not in the table.

\begin{array}{l}<br /> Y\left( s \right) = \frac{1}{{\left( {s + 4} \right)^4 }} \\ <br /> y\left( t \right) = L^{ - 1} \left[ {Y\left( s \right)} \right] \\ <br /> \end{array}
 
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There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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