Divide (12a^3p^4)÷(-2)a^2p

$12 a^{3} p^{4} \div (- 2) a^{2} p$

Step 1

Rewrite the division as a fraction.

$\frac{12 a^{3} p^{4}}{(- 2) a^{2} p}$

Step 2

Cancel the common factor of $12$ and $- 2$ .

Factor $2$ out of $12 a^{3} p^{4}$ .

$\frac{2 (6 a^{3} p^{4})}{(- 2) a^{2} p}$

Cancel the common factors.

Factor $2$ out of $(- 2) a^{2} p$ .

$\frac{2 (6 a^{3} p^{4})}{2 (- a^{2} p)}$

Cancel the common factor.

$\frac{2 (6 a^{3} p^{4})}{2 (- a^{2} p)}$

Rewrite the expression.

$\frac{6 a^{3} p^{4}}{- a^{2} p}$

Step 3

Cancel the common factor of $a^{3}$ and $a^{2}$ .

Factor $a^{2}$ out of $6 a^{3} p^{4}$ .

$\frac{a^{2} (6 a p^{4})}{- a^{2} p}$

Cancel the common factors.

Factor $a^{2}$ out of $- a^{2} p$ .

$\frac{a^{2} (6 a p^{4})}{a^{2} (- 1 p)}$

Cancel the common factor.

$\frac{a^{2} (6 a p^{4})}{a^{2} (- 1 p)}$

Rewrite the expression.

$\frac{6 a p^{4}}{- 1 p}$

Step 4

Cancel the common factor of $p^{4}$ and $p$ .

Factor $p$ out of $6 a p^{4}$ .

$\frac{p (6 a p^{3})}{- 1 p}$

Move the negative one from the denominator of $\frac{6 a p^{3}}{- 1}$ .

$- 1 \cdot (6 a p^{3})$

Step 5

Rewrite $- 1 \cdot (6 a p^{3})$ as $- (6 a p^{3})$ .

$- (6 a p^{3})$

Step 6

Multiply $6$ by $- 1$ .

$- 6 a p^{3}$