2000 AMC 10 Problems/Problem 2

Problem

$2000\left(2000^{2000}\right)=$

$\mathrm{(A)}\ {2000}^{2001} \qquad \mathrm{(B)}\ {4000}^{2000} \qquad \mathrm{(C)}\ {2000}^{4000} \qquad \mathrm{(D)}\ {4,000,000}^{2000} \qquad\mathrm{(E)}\ {2000}^{4,000,000}$

Solution

$2000 \cdot 2000^{2000}=2000^1 \cdot 2000^{2000}=2000^{2000+1}=2000^{2001}$ .

$\boxed{\text{A}}$

2000 AMC 10 (Problems • Answer Key • Resources)
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2000 AMC 10 Problems/Problem 2

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