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Algebra Level 2

\[ \large A = 2^{5555}, \qquad B = 3^{3333}, \qquad C = 6^{2222} \]

What is the order of these numbers from smallest to largest?

\[C<B<A\] \[A<B<C\] \[A<C<B\] \[B<A<C\]

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by Aman Baser

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