Question

Which expression is equal to (3m)^2/5

Answer 1

ANSWER

The correct answer is

$\sqrt[5]{9 {m}^{2}}$



EXPLANATION

The given expression is

${(3m)}^{ \frac{2}{5} }$


We can rewrite the exponent as


${(3m)}^{ \frac{1}{5} \times 2 }$


Or


$({(3m)}^{ 2 } )^{ \frac{1}{5} }$

We evaluate the inner expression to obtain,


$(9 {m}^{2} )^{ \frac{1}{5} }$


We then rewrite as,


$\sqrt[5]{9 {m}^{2}}$