Compare the following two numbers: $2^{2^{2^{2^{2}}}}$ and $3^{3^{3^{3}}}$.
Problem
Source: Kosovo MO 2020 Grade 9, Problem 1
Tags: national olympiad, Olympiad, algebra, number theory, Compare, powers, POW
Source: Kosovo MO 2020 Grade 9, Problem 1
Tags: national olympiad, Olympiad, algebra, number theory, Compare, powers, POW
Compare the following two numbers: $2^{2^{2^{2^{2}}}}$ and $3^{3^{3^{3}}}$.