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GMAT Problem Solving (PS) | Let p = 3^(q+1) and q = 2r. Then p/3^2 =

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Bunuel wrote:

Let \(p = 3^{(q+1)}\) and \(q = 2r\). Then \(\frac{p}{3^2} =\)

(A) 3^(2r−1)
(B) 3^(2r)
(C) 3
(D) r
(E) 3^(2r+1)


\(p = 3^{(q+1)}\)
Given;\(q = 2r\)

Substituting value of q in\(p = 3^{(q+1)}\) weget;

\(p = 3^{(2r+1)}\)

Dividing both sides by\(3^2\)

\(\frac{p}{3^2}\) =\(\frac{3^{(2r+1)}}{3^2}\)

\(\frac{p}{3^2}\) =\(3^{(2r+1)} * 3^{(-2)}\)

\(\frac{p}{3^2}\) =\(3^{(2r+1-2)}\)

\(\frac{p}{3^2}\) =\(3^{(2r-1)}\)
Answer A...

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