4.
\((1){{(-x)}^{3}}\cdot {{(-x)}^{2}}= \)___________ ,\({{(-2)}^{2000}}\cdot {{(\dfrac{1}{2})}^{1999}}=\)________ :
\((2)\)若\((x+1)^{0}=1\),则\(x\)的取值范围是___________ ;
\((3).\)若\({{a}^{m}}{{b}^{n}}\cdot {{a}^{2}}{{b}^{2n}}={{a}^{4}}{{b}^{9}}\),则\(m+n=\)___________ ;
\((4)\)若\(a+b=3\),\(ab=2\),则\({{a}^{2}}+{{b}^{2}}=\)_________ 。