Question

Which expression is equivalent to √225/625M^4N^6?

Answer 1

Answer:

$\frac{3}{5} m^{2}| n^{3}|$

Step-by-step explanation:

Let's consider the following expression.

$\sqrt{\frac{225}{625}m^{4}n^{6}}$

We can apply the distributive property.

$\frac{\sqrt{225}\sqrt{m^{4}\sqrt{n^{6}}}}{\sqrt{625} } =\frac{15m^{2}n^{3}}{25} =\frac{3}{5} m^{2}n^{3}$

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

Answer 2

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