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A = (1 + 13)(1 + 132)(1 + 134)(1 + 138). What is the value of 1 - 23A

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[GMAT math practice question]

\(A = (1 + \frac{1}{3})(1 + \frac{1}{3^2})(1 + \frac{1}{3^4})(1 + \frac{1}{3^8}).\) What is the value of \(1 - \frac{2}{3}A\)?

A. \(1\)

B. \(3\)

C. \(\frac{1}{3} \)

D. \(\frac{1}{3^{16} } \)

E. \(\frac{1}{3^{20}}\)

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