question_answer

Simplify:\[\sqrt{\frac{{{(12.12)}^{2}}-{{(8.12)}^{2}}}{{{(0.25)}^{2}}+(0.25)(19.99)}}+\frac{{{\left[ {{\left( {{8}^{-3/4}} \right)}^{5/2}} \right]}^{\frac{8}{15}}}\times {{16}^{\frac{3}{4}}}}{\sqrt[3]{{{\left( {{\left\{ {{(128)}^{-5}} \right\}}^{\frac{3}{7}}} \right)}^{-\frac{1}{5}}}}}\]

A)  \[3\frac{1}{2}\]                        

B)  \[4\frac{1}{3}\]

C)  \[4\frac{1}{2}\]                        

D)  \[5\frac{1}{2}\]

E)         None of these