Problem 9 (2000 AMC 8)

AMC 8Normal

From module Arithmetic and Number Theory Basics

Problem

Three-digit powers of $2$ and $5$ are used in this "cross-number" puzzle. What is the only possible digit for the outlined square? [See figure in original PDF] ACROSS $2$ . $2^m$ DOWN $1$ . $5^n$

Show me the solution

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