Correct Answer: Option A

Explanation

(\(\frac{27}{125}\))^{-\(\frac{1}{3}\)} x (\(\frac{4}{9}\))^{\(\frac{1}{2}\)}

= (\(\frac{3^3}{5^3}\))^{-\(\frac{1}{3}\)}_{-\(\frac{1}{3}\)} x (\(\frac{3^2}{3^2}\))^{\(\frac{1}{2}\)} _{-\(\frac{1}{2}\)}

= \(\frac{3^{-1}}{3^{-1}} \times \frac{2}{3}\)

= \(\frac{\frac{1}{3}}{\frac{1}{5}} \times \frac{2}{3}\)

\(\frac{1}{3} \times \frac{5}{1} \times {2}{3} = \frac{10}{9}\)

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