2000 AMC 12 Problem 2

Problem 2 of 25EasierAlgebra

What is

2000(2000^{2000})?

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Solution

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.

Concepts: exponent

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