Simplify ((x^2)/(y^3))÷(x/(2y))

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

To divide by a fraction, multiply by its reciprocal.

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

Combine.

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

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

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

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

Cancel the common factors.

Factor $x$ out of $y^{3} x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Factor $y$ out of $x (2 y)$ .

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

Cancel the common factors.

Factor $y$ out of $y^{3}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Move $2$ to the left of $x$ .

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

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