question_answer

If\[{{\left[ \frac{{{\mathbf{2}}^{{{\mathbf{n}}^{\mathbf{3}}}\mathbf{-3}{{\mathbf{n}}^{\mathbf{2}}}}}}{\mathbf{2}}\mathbf{.}{{\mathbf{2}}^{\mathbf{3n}}} \right]}^{\mathbf{1/3}}}\mathbf{+}{{\left[ \mathbf{4}\mathbf{.}{{\mathbf{2}}^{{{\mathbf{n}}^{\mathbf{2}}}\mathbf{+2n}}} \right]}^{\mathbf{1/2}}}\mathbf{=640}\], then find the value of n.

A)  6                                                        

B)  7

C)  8        

D)  10

E)  None of these