Stage: 5 Challenge Level: 
Which is the biggest and which the smallest of these numbers?
$$2000^{2002} \quad\quad 2001^{2001}\quad\quad 2002^{2000} $$
How do they compare in magnitude?
Number theory. Logarithmic functions. Inequality/inequalities. Index notation/Indices. Stage 5 - Reviewed 2012. epsilons. Manipulating algebraic expressions/formulae. Mathematical reasoning & proof. alphas. chemistry.
Published December 2001,January 2002.
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