Using law of indices

25\(^{(\frac{1}{2}}\) × 8\(\frac{-2}{3}\)

  = \(\sqrt{25}\) x (\(\sqrt[3]{8}\))\(^{ -2}\)

  = 5 x 2\(^{-2}\)

  = 5 x \(\frac{1}{2^2}\) =

 \(\frac{5}{4}\) = \(\frac{11}{4}\)

  The answer is A