2000 AMC 12 Problem 2

Writing $2000 = 2000^1,$ we get $$\begin{gathered} 2000^1 \cdot 2000^{2000} \\ = 2000^{1 + 2000} \\ = 2000^{2001}. \end{gathered}$$ All of the other options are larger than this. Thus, the correct answer is A.