2000 AMC 12 Problems/Problem 2

Revision as of 17:55, 16 July 2006 by Xantos C. Guin (talk | contribs) (Added problem and solution)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

$\displaystyle 2000(2000^{2000}) =$

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

Solution

$2000(2000^{2000}) = (2000^{1})(2000^{2000}) = 2000^{2001} \Rightarrow A$

See Also