Simplify (24x^6y^3)/(-6x^3y)

$\frac{24 x^{6} y^{3}}{- 6 x^{3} y}$

Step 1

Cancel the common factor of $24$ and $- 6$ .

Factor $6$ out of $24 x^{6} y^{3}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

Cancel the common factor of $x^{6}$ and $x^{3}$ .

Factor $x^{3}$ out of $4 x^{6} y^{3}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{4 x^{3} y^{3}}{- 1 y}$

Step 3

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

Factor $y$ out of $4 x^{3} y^{3}$ .

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

Move the negative one from the denominator of $\frac{4 x^{3} y^{2}}{- 1}$ .

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

Step 4

Simplify the expression.

Rewrite $- 1 \cdot (4 x^{3} y^{2})$ as $- (4 x^{3} y^{2})$ .

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

Multiply $4$ by $- 1$ .

$- 4 x^{3} y^{2}$