1971 AHSME Problem 33

If P is the product of n quantities in Geometric Progression, S their sum, and S' the sum of their reciprocals, then P in terms of S, S', and n is

\textbf{(A) }(SS')^{\frac{1}{2}n}\qquad \textbf{(B) }(S/S')^{\frac{1}{2}n}\qquad \textbf{(C) }(SS')^{n-2}\qquad \textbf{(D) }(S/S')^n\qquad \textbf{(E) }(S/S')^{\frac{1}{2}(n-1)}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.