ANSWER
The correct answer is
[tex] \sqrt[5]{9 {m}^{2}} [/tex]
EXPLANATION
The given expression is
[tex] {(3m)}^{ \frac{2}{5} } [/tex]
We can rewrite the exponent as
[tex] {(3m)}^{ \frac{1}{5} \times 2 } [/tex]
Or
[tex] ({(3m)}^{ 2 } )^{ \frac{1}{5} } [/tex]
We evaluate the inner expression to obtain,
[tex] (9 {m}^{2} )^{ \frac{1}{5} } [/tex]
We then rewrite as,
[tex] \sqrt[5]{9 {m}^{2}} [/tex]