Simplify ((2xy)(3x^2y^4))/(-6xy^5)

$\frac{(2 x y) (3 x^{2} y^{4})}{- 6 x y^{5}}$

Multiply $x$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$\frac{2 (x^{2} x) y (3 y^{4})}{- 6 x y^{5}}$

Multiply $x^{2}$ by $x$ .

Raise $x$ to the power of $1$ .

$\frac{2 (x^{2} x^{1}) y (3 y^{4})}{- 6 x y^{5}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{2 x^{2 + 1} y (3 y^{4})}{- 6 x y^{5}}$

Add $2$ and $1$ .

$\frac{2 x^{3} y (3 y^{4})}{- 6 x y^{5}}$

Multiply $y$ by $y^{4}$ by adding the exponents.

Move $y^{4}$ .

$\frac{2 x^{3} (y^{4} y) \cdot 3}{- 6 x y^{5}}$

Multiply $y^{4}$ by $y$ .

Raise $y$ to the power of $1$ .

$\frac{2 x^{3} (y^{4} y^{1}) \cdot 3}{- 6 x y^{5}}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{2 x^{3} y^{4 + 1} \cdot 3}{- 6 x y^{5}}$

Add $4$ and $1$ .

$\frac{2 x^{3} y^{5} \cdot 3}{- 6 x y^{5}}$

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

Factor $2$ out of $2 x^{3} y^{5} \cdot 3$ .

$\frac{2 (x^{3} y^{5} \cdot 3)}{- 6 x y^{5}}$

Cancel the common factors.

Factor $2$ out of $- 6 x y^{5}$ .

$\frac{2 (x^{3} y^{5} \cdot 3)}{2 (- 3 x y^{5})}$

Cancel the common factor.

$\frac{2 (x^{3} y^{5} \cdot 3)}{2 (- 3 x y^{5})}$

Rewrite the expression.

$\frac{x^{3} y^{5} \cdot 3}{- 3 x y^{5}}$

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

Factor $x$ out of $x^{3} y^{5} \cdot 3$ .

$\frac{x (x^{2} y^{5} \cdot 3)}{- 3 x y^{5}}$

Cancel the common factors.

Factor $x$ out of $- 3 x y^{5}$ .

$\frac{x (x^{2} y^{5} \cdot 3)}{x (- 3 y^{5})}$

Cancel the common factor.

$\frac{x (x^{2} y^{5} \cdot 3)}{x (- 3 y^{5})}$

Rewrite the expression.

$\frac{x^{2} y^{5} \cdot 3}{- 3 y^{5}}$

Cancel the common factor of $y^{5}$ .

Cancel the common factor.

$\frac{x^{2} y^{5} \cdot 3}{- 3 y^{5}}$

Rewrite the expression.

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

Cancel the common factor of $3$ and $- 3$ .

Factor $3$ out of $x^{2} \cdot 3$ .

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

Move the negative one from the denominator of $\frac{x^{2}}{- 1}$ .

$- 1 \cdot x^{2}$

Rewrite $- 1 \cdot x^{2}$ as $- x^{2}$ .

$- x^{2}$

Simplify ((2xy)(3x^2y^4))/(-6xy^5)

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