2000 AMC 10 Problem 2

Problem 2 of 25EasierAlgebra

Which of the following is equal to

2000 \cdot 2000^{2000}?

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Solution

Write the factor

2000

2000^1.

Then

\begin{aligned} 2000^1 \cdot 2000^{2000} &= 2000^{1 + 2000} \\ &= 2000^{2001}. \end{aligned}

Each of the other options is larger than

2000^{2001}.

Thus, the correct answer is A.

Concepts: exponent

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