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

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

Multiply $x^{4}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

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

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

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

Add $3$ and $4$ .

$\frac{6 x^{2} y^{3}}{- 4 x^{7} y (- 3 y^{2})}$

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

Move $y^{2}$ .

$\frac{6 x^{2} y^{3}}{- 4 x^{7} (y^{2} y) \cdot - 3}$

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

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

$\frac{6 x^{2} y^{3}}{- 4 x^{7} (y^{2} y^{1}) \cdot - 3}$

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

$\frac{6 x^{2} y^{3}}{- 4 x^{7} y^{2 + 1} \cdot - 3}$

Add $2$ and $1$ .

$\frac{6 x^{2} y^{3}}{- 4 x^{7} y^{3} \cdot - 3}$

Cancel the common factor of $6$ and $- 4$ .

Factor $2$ out of $6 x^{2} y^{3}$ .

$\frac{2 (3 x^{2} y^{3})}{- 4 x^{7} y^{3} \cdot - 3}$

Cancel the common factors.

Factor $2$ out of $- 4 x^{7} y^{3} \cdot - 3$ .

$\frac{2 (3 x^{2} y^{3})}{2 (- 2 x^{7} y^{3} \cdot - 3)}$

Cancel the common factor.

$\frac{2 (3 x^{2} y^{3})}{2 (- 2 x^{7} y^{3} \cdot - 3)}$

Rewrite the expression.

$\frac{3 x^{2} y^{3}}{- 2 x^{7} y^{3} \cdot - 3}$

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

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

$\frac{3 (x^{2} y^{3})}{- 2 x^{7} y^{3} \cdot - 3}$

Cancel the common factors.

Factor $3$ out of $- 2 x^{7} y^{3} \cdot - 3$ .

$\frac{3 (x^{2} y^{3})}{3 (- 2 x^{7} y^{3} \cdot - 1)}$

Cancel the common factor.

$\frac{3 (x^{2} y^{3})}{3 (- 2 x^{7} y^{3} \cdot - 1)}$

Rewrite the expression.

$\frac{x^{2} y^{3}}{- 2 x^{7} y^{3} \cdot - 1}$

Cancel the common factor of $x^{2}$ and $x^{7}$ .

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

$\frac{x^{2} (y^{3})}{- 2 x^{7} y^{3} \cdot - 1}$

Cancel the common factors.

Factor $x^{2}$ out of $- 2 x^{7} y^{3} \cdot - 1$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{- 2 x^{5} \cdot - 1}$

Cancel the common factor of $1$ and $- 1$ .

Rewrite $1$ as $- 1 (- 1)$ .

$\frac{- 1 (- 1)}{- 2 x^{5} \cdot - 1}$

Move the negative in front of the fraction.

$- \frac{1}{- 2 x^{5}}$

Move the negative in front of the fraction.

$- - \frac{1}{(2) x^{5}}$

Multiply $- - \frac{1}{2 x^{5}}$ .

Multiply $- 1$ by $- 1$ .

$1 \frac{1}{2 x^{5}}$

Multiply $\frac{1}{2 x^{5}}$ by $1$ .

$\frac{1}{2 x^{5}}$

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

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