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CMO 1975 Problem 1

  • Paper

Simplify

(1⋅2⋅4+2⋅4⋅8+⋯+n⋅2n⋅4n1⋅3⋅9+2⋅6⋅18+⋯+n⋅3n⋅9n)13\left(\frac {1 \cdot 2 \cdot 4 + 2 \cdot 4 \cdot 8 + \cdots + n \cdot 2n \cdot 4n}{1 \cdot 3 \cdot 9 + 2 \cdot 6 \cdot 18 + \cdots + n \cdot 3n \cdot 9n}\right)^{\frac {1}{3}}

Dataset text AI-MO AoPS. Quoted with source.

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