Simplify ((-2m^2n^3)/(m^2n^4))^2

${(\frac{- 2 m^{2} n^{3}}{m^{2} n^{4}})}^{2}$

Cancel the common factor of $m^{2}$ .

Cancel the common factor.

${(\frac{- 2 m^{2} n^{3}}{m^{2} n^{4}})}^{2}$

Rewrite the expression.

${(\frac{- 2 n^{3}}{n^{4}})}^{2}$

Cancel the common factor of $n^{3}$ and $n^{4}$ .

Factor $n^{3}$ out of $- 2 n^{3}$ .

${(\frac{n^{3} \cdot - 2}{n^{4}})}^{2}$

Cancel the common factors.

Factor $n^{3}$ out of $n^{4}$ .

${(\frac{n^{3} \cdot - 2}{n^{3} n})}^{2}$

Cancel the common factor.

${(\frac{n^{3} \cdot - 2}{n^{3} n})}^{2}$

Rewrite the expression.

${(\frac{- 2}{n})}^{2}$

Move the negative in front of the fraction.

${(- \frac{2}{n})}^{2}$

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $- \frac{2}{n}$ .

${(- 1)}^{2} {(\frac{2}{n})}^{2}$

Apply the product rule to $\frac{2}{n}$ .

${(- 1)}^{2} \frac{2^{2}}{n^{2}}$

Raise $- 1$ to the power of $2$ .

$1 \frac{2^{2}}{n^{2}}$

Multiply $\frac{2^{2}}{n^{2}}$ by $1$ .

$\frac{2^{2}}{n^{2}}$

Raise $2$ to the power of $2$ .

$\frac{4}{n^{2}}$