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South African Mathematics Olympiad Second Round

Algebra Difficulty 4.2 AIME Find the answer South Africa

$p$ , $q$ and $r$ represent the numbers $2$ , $3$ , $4$ in some order. What is the greatest possible value of $p^q \times r$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

$3^4 \times 2 = 81 \times 2 = 162$

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Source: MathNet, licensed CC-BY-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.