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If the integers \(a\) and \(n\) are greater than \(1\) and the product of the first \(8\) positive integers is a multipl

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If the integers \(a\) and \(n\) are greater than \(1\) and the product of the first \(8\) positive integers is a multiple of \(a^n,\) what is the value of \(a?\)

(1) \(a^n = 64\)
(2) \(n=6\)

Answer: B

Source: GMAT Prep
Source: — Data Sufficiency |