Simplify (9a^3b^5)/(-3ab^2)

$\frac{9 a^{3} b^{5}}{- 3 a b^{2}}$

Step 1

Cancel the common factor of $9$ and $- 3$ .

Factor $3$ out of $9 a^{3} b^{5}$ .

$\frac{3 (3 a^{3} b^{5})}{- 3 a b^{2}}$

Cancel the common factors.

Factor $3$ out of $- 3 a b^{2}$ .

$\frac{3 (3 a^{3} b^{5})}{3 (- a b^{2})}$

Cancel the common factor.

$\frac{3 (3 a^{3} b^{5})}{3 (- a b^{2})}$

Rewrite the expression.

$\frac{3 a^{3} b^{5}}{- a b^{2}}$

Step 2

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

Factor $a$ out of $3 a^{3} b^{5}$ .

$\frac{a (3 a^{2} b^{5})}{- a b^{2}}$

Cancel the common factors.

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

$\frac{a (3 a^{2} b^{5})}{a (- 1 b^{2})}$

Cancel the common factor.

$\frac{a (3 a^{2} b^{5})}{a (- 1 b^{2})}$

Rewrite the expression.

$\frac{3 a^{2} b^{5}}{- 1 b^{2}}$

Step 3

Cancel the common factor of $b^{5}$ and $b^{2}$ .

Factor $b^{2}$ out of $3 a^{2} b^{5}$ .

$\frac{b^{2} (3 a^{2} b^{3})}{- 1 b^{2}}$

Move the negative one from the denominator of $\frac{3 a^{2} b^{3}}{- 1}$ .

$- 1 \cdot (3 a^{2} b^{3})$

Step 4

Simplify the expression.

Rewrite $- 1 \cdot (3 a^{2} b^{3})$ as $- (3 a^{2} b^{3})$ .

$- (3 a^{2} b^{3})$

Multiply $3$ by $- 1$ .

$- 3 a^{2} b^{3}$