smc

Plugging in $x=0$ into the function will give $0^1\cdot 2^3$. Since $0^1=0$, this gives $0$. Plugging in $x=-1$ into the function will give $(-1{)}^0\cdot 1^2$. Since $(-1{)}^0=1$ and $1^2=1$, this gives $1$. Plugging in $x=-2$ will give a $0^1$ factor as the second term, giving an answer of $0$. Plugging in $x=-3$ will give $(-3{)}^{-2}\cdot (-1{)}^0$. The last term is $1$, while the first term is $\frac{1}{(-3{)}^2}=\frac{1}{9}$ Adding up all four values, the answer is $1+\frac{1}{9}=\frac{10}{9}$, and the right answer is $\boxed{\frac{10}{9}}$.