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MathNet 2026 — Part 08 Question 100

Math Olympiad Vault · MathNet 2026 — Part 08

Question 100

Which is larger, $A=20^{19^{20}}$ or $B=19^{20^{19}}$? (Here, $a^{b^{c}}$ means $a^{\left(b^{c}\right)}$ and not $\left(a^{b}\right)^{c}$.)