( 48 )^ - 2/7 × ( 16 )^ - 5/7 × ( 3 )^ - 5/7 = ?

Answer: Option B

$$\begin{array}{rl}& {\left(48\right)}^{-\frac{2}{7}}\times {\left(16\right)}^{-\frac{5}{7}}\times {\left(3\right)}^{-\frac{5}{7}}\\ & ={\left(16\times 3\right)}^{-\frac{2}{7}}\times {\left(16\right)}^{-\frac{5}{7}}\times {\left(3\right)}^{-\frac{5}{7}}\\ & ={\left(16\right)}^{-\frac{2}{7}}\times {\left(3\right)}^{-\frac{2}{7}}\times {\left(16\right)}^{-\frac{5}{7}}\times {\left(3\right)}^{-\frac{5}{7}}\\ & ={\left(16\right)}^{\left(-\frac{2}{7}-\frac{5}{7}\right)}\times {\left(3\right)}^{\left(-\frac{2}{7}-\frac{5}{7}\right)}\\ & ={\left(16\right)}^{\left(-\frac{7}{7}\right)}\times {\left(3\right)}^{\left(-\frac{7}{7}\right)}\\ & ={\left(16\right)}^{-1}\times {\left(3\right)}^{-1}\\ & =\frac{1}{16}\times \frac{1}{3}\\ & =\frac{1}{48}\end{array}$$