The given expression is
[tex](\sqrt[]{9)}^2[/tex]The first step is to evaluate the term in the bracket. The suare root of 9 is 3
[tex]\sqrt[]{9\text{ }}=\text{ 3}[/tex]Then we would square the result
[tex]3^2\text{ = 9}[/tex]The answer is 9
It could have been done this way
[tex](9^{\frac{1}{2}})^2=9^{\frac{2}{2}}=\text{ 9}[/tex]