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MathNet 2009-part-03 — 175 problems (EN–VI) Question 144

Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)

Question 144

A positive integer $m$ is chosen so that the sum of all the digits of $8^m$ (in its decimal representation) equals to $8$. Determine if the last digit of $8^m$ can appear to be $6$.