question_answer

Choose the correct descending order for the following:

\[{{4}^{5+6}},{{({{4}^{5}})}^{6}},{{4}^{8}}\times {{4}^{4}},\frac{{{4}^{6}}}{{{4}^{-7}}},{{4}^{10}}\times {{4}^{0}}\].

 

A) \[{{\left( {{4}^{5}} \right)}^{6}}>\text{ }{{4}^{8}}\times {{4}^{4}}>\frac{{{4}^{6}}}{{{4}^{-7}}}>{{4}^{5+6}}>{{4}^{10}}\times {{4}^{0}}\]

B) \[{{({{4}^{5}})}^{6}}>\frac{{{4}^{6}}}{{{4}^{-7}}}>{{4}^{8}}\times {{4}^{4}}>{{4}^{5+6}}>{{4}^{10}}\times {{4}^{0}}\]

C)  \[{{4}^{8}}\times \,{{4}^{4}}>{{({{4}^{5}})}^{6}}>\frac{{{4}^{6}}}{{{4}^{-7}}}>\text{ }{{4}^{10}}\times {{4}^{0}}>{{4}^{5+6}}\]

D) \[{{4}^{8}}\times {{4}^{4}}<{{({{4}^{5}})}^{6}}<\frac{{{4}^{6}}}{{{4}^{-7}}}<{{4}^{10}}\times {{4}^{0}}<{{4}^{5+6}}\]

E) None of these