question_answer

Simplify \[\frac{{{(16{{a}^{2}})}^{\frac{1}{2}}}\times {{(36\,{{a}^{4}})}^{\frac{-1}{2}}}}{2{{a}^{\frac{1}{2}}}\times 5{{a}^{\frac{3}{2}}}\times 8{{a}^{\frac{9}{4}}}}\].

A)  \[120\,\,{{a}^{\frac{25}{4}}}\]   

B)         \[\frac{1}{120\,{{a}^{\frac{25}{4}}}}\]  

C)  \[24{{a}^{\frac{-25}{4}}}\]          

D)         \[24{{a}^{\frac{25}{4}}}\]