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AMO 2017 – Secondary 1 (Grade 7) Question 7

AMO · AMO 2017 – Secondary 1 (Grade 7)

Question 7

If $4096=a^b$, find the sum of all possible values of $a$ where $b$ is a whole number greater than $1$.

Clarification: use the intended domain that $a$ is a positive integer.

Question illustration