Evaluate (2x^2y)/(6xy^-1)

$\frac{2 x^{2} y}{6 x y^{- 1}}$

Move $y^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{2 x^{2} y \cdot y}{6 x}$

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$\frac{2 x^{2} (y \cdot y)}{6 x}$

Multiply $y$ by $y$ .

$\frac{2 x^{2} y^{2}}{6 x}$

Cancel the common factor of $2$ and $6$ .

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

$\frac{2 (x^{2} y^{2})}{6 x}$

Cancel the common factors.

Factor $2$ out of $6 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Cancel the common factors.

Factor $x$ out of $3 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

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