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

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

Step 1

Cancel the common factor of $x^{2}$ and $x$ .

Factor $x$ out of $x^{2} y$ .

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

Cancel the common factors.

Factor $x$ out of $x y^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

Cancel the common factor of $y$ and $y^{2}$ .

Factor $y$ out of $x y$ .

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

Cancel the common factors.

Factor $y$ out of $y^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

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

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

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