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AMO 2017 — Primary 6 (Grade 6) Question 7

AMO · AMO 2017 — Primary 6 (Grade 6)

Question 7

It is given that $2^5 = 2 × 2 × 2 × 2 × 2$. If $4096 = a^b$, find the sum of all possible values of a where b is a whole number greater than 1.