\(If $\displaystyle{f(x)=x^{(x+1)}(x+2)^{(x+3)}}$, then find the value of $f(0)+f(-1)+f(-2)+f(-3)$.\)
\(\quad f(0) + f(-1) + f(-2) + f(-3)\\ = 0 + 1 + 0 + (-3)^{-2}\\ = \dfrac{10}9\)
