Correct Answer: Option C

Explanation

(\(\frac{1}{343}\))\(^{\frac{1}{3}}\) + (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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