Simplify ((-x)/(-y^2))^4

${(\frac{- x}{- y^{2}})}^{4}$

Step 1

Dividing two negative values results in a positive value.

${(\frac{x}{y^{2}})}^{4}$

Step 2

Apply basic rules of exponents.

Apply the product rule to $\frac{x}{y^{2}}$ .

$\frac{x^{4}}{{(y^{2})}^{4}}$

Multiply the exponents in ${(y^{2})}^{4}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{x^{4}}{y^{2 \cdot 4}}$

Multiply $2$ by $4$ .

$\frac{x^{4}}{y^{8}}$