If \(3^{m+n}=27\) and \(3^{m-n}=\dfrac13\) then \(\dfrac{m}{n}=\)

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If \(3^{m+n}=27\) and \(3^{m-n}=\dfrac13\) then \(\dfrac{m}{n}=\)

(A) \(\dfrac15\)

(B) \(\dfrac14\)

(C) \(\dfrac12\)

(D) \(1\)

(E) \(2\)

Answer: C

Source: GMAT Prep