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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]

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