Respuesta :

this is equivalent to 3/5m^2n^3

Answer:

[tex]\frac{3}{5} m^{2}| n^{3}|[/tex]

Step-by-step explanation:

Let's consider the following expression.

[tex]\sqrt{\frac{225}{625}m^{4}n^{6}}[/tex]

We can apply the distributive property.

[tex]\frac{\sqrt{225}\sqrt{m^{4}\sqrt{n^{6}}}}{\sqrt{625} } =\frac{15m^{2}n^{3}}{25} =\frac{3}{5} m^{2}n^{3}[/tex]

The absolute value of n³ is equal to n³, when n > 0.