0.4
Given Expression : $latex \left ( \sqrt[3]{0.004096} \right )^{\frac{1}{2}}&s=1$
$latex = \left ( 0.004096 \right )^{\frac{1}{3}\times \frac{1}{2}}&s=1$
$latex = \left ( \frac{4096}{1000000} \right )^{\frac{1}{6}}=\left [ \left ( \frac{4}{10} \right )^{6} \right ]^{\frac{1}{6}}&s=2$
$latex = \left ( \frac{4}{6} \right )^{6\times \frac{1}{6}}&s=2$
$latex = \frac{4}{10} = 0.4&s=1$
Hence option [A] is correct answer.