UA-UMO 1998 Problem 105

Let $m$ be the smallest of the four numbers $1,x^9,y^9,z^7$ , where $x,y,z$ are nonnegative numbers. Prove that $m\le xy^2z^3$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.