1998 IMO Problems/Problem 6

Problem

Determine the least possible value of $f(1998),$ where $f:\Bbb{N}\to \Bbb{N}$ is a function such that for all $m,n\in {\Bbb N}$,

\[f\left( n^{2}f(m)\right) =m\left( f(n)\right) ^{2}.\]

Video Solution

https://www.youtube.com/watch?v=vOExNCV8jGQ

See Also

1998 IMO (Problems) • Resources
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