question_answer

Simplify: \[1\div \left\{ {{\left( \frac{2}{3} \right)}^{6}}\times {{\left( \frac{1}{3} \right)}^{-\,4}}\times {{3}^{-\,1}}\times {{6}^{-\,1}} \right\}\]\[+\,\,\left[ {{\left( \frac{1}{3} \right)}^{-\,3}}-\,\,{{\left( \frac{1}{2} \right)}^{-\,3}} \right]\div \,\,{{\left( \frac{1}{4} \right)}^{-\,3}}\]

A)  \[\frac{181}{64}\] 

B)  \[\frac{151}{64}\]

C)  \[\frac{172}{21}\]                                

D)  \[\frac{147}{32}\]

E)  None of these