Evaluate (\(\frac{1}{343}\))\(^{\frac{1}{3}}\) + (64)\(^{-\frac{1}{3}}\) - \(\frac{4}{9}\)\(^{-\frac{1}{2}}\)

A. -\(\frac{17}{36}\)
B. -\(\frac{3}{28}\)
C. \(\frac{31}{28}\)
D. \(\frac{17}{36}\)
E. \(\frac{1}{4}\)

(\(\frac{1}{343}\))\(^{\frac{1}{3}}\) + (64)\(^{-\frac{1}{3}}\) - \(\frac{4}{9}\)\(^{-\frac{1}{2}}\)

where \(343 = 7^3, 64 = 2^6, 4 = 2^2, 9 = 3^2\)

\(7^{-3}\) \(^{\frac{1}{3}}\) + \(2^6\) \(^{\frac{-1}{3}}\) - \(\frac{2^2}{3^2}\) \(^{\frac{-1}{2}}\)

\(7^{-1} + 2^{-2} - (\frac{2}{3})^{-1}\)

\(\frac{1}{7} + \frac{1}{4} - \frac{3}{2}\)

\(\frac{4+7-42}{28}\)

\(\frac{31}{28}\)

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