Answer
False
Work Step by Step
The second shifting theorem states that $L {f(t) \cdot u (t-a) }= e^{-as} L { f(t+a) }$.
The correct form of the given statement is:
$L (u_3{t} e^t) = e^{-3s} L (e^{t+3}]$.
Therefore, the given statement is $\bf{False}$.