Difference between revisions of "2000 AMC 10 Problems/Problem 2"

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==Problem==
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<math>2000\left(2000^{2000}\right)=</math>
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<math>\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}</math>
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==Solution==
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<math>2000 \cdot 2000^{2000}=2000^1 \cdot 2000^{2000}=2000^{2000+1}=2000^{2001}</math>.
 
<math>2000 \cdot 2000^{2000}=2000^1 \cdot 2000^{2000}=2000^{2000+1}=2000^{2001}</math>.
  
A.
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<math>\boxed{\text{A}}</math>
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{{AMC10 box|year=2000|before=First question|num-a=2}}

Revision as of 18:37, 8 January 2009

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 (ProblemsAnswer KeyResources)
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