smc

We can use an elementary exponents rule to solve our problem. We know that $a^b\cdot a^c=a^{b+c}$. Hence, $2000(2000^{2000})=(2000^1)(2000^{2000})=2000^{2000+1}=2000^{2001}\Rightarrow \boxed{2000^{2001}}$