Answer:
120/s^6
Step-by-step explanation:
There is an easy formula for this...
L(t^n)=n!/(s^(n+1))
Your n=5 here
L(t^5)=5!/(s^6)
L(t^5)=120/s^6
[tex]\mathcal{L}\{t^n\}=\dfrac{n!}{s^{n+1}}[/tex]
So
[tex]\mathcal{L}\{f(t)\}=\dfrac{5!}{s^{5+1}}=\dfrac{120}{s^6}[/tex]
