Simplify ((x^2)/y)^-3

${(\frac{x^{2}}{y})}^{- 3}$

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

${(\frac{y}{x^{2}})}^{3}$

Step 2

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

$\frac{y^{3}}{{(x^{2})}^{3}}$

Step 3

Multiply the exponents in ${(x^{2})}^{3}$ .

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

$\frac{y^{3}}{x^{2 \cdot 3}}$

Multiply $2$ by $3$ .

$\frac{y^{3}}{x^{6}}$