Question 151
Let $a$ and $b$ be distinct positive integers. If $n$ and $m$ are positive integers satisfying
$$
(a^n - b^n)^m = (a^m - b^m)^n,
$$
prove that $n = m$.
$$
(a^n - b^n)^m = (a^m - b^m)^n,
$$
prove that $n = m$.
MathNet 2022-part-03 — 197 problems (EN–VI) Question 151
Math Olympiad Vault · MathNet 2022-part-03 — 197 problems (EN–VI)