Simplify (25a^13b^4)/(-5a^2b^3)

$\frac{25 a^{13} b^{4}}{- 5 a^{2} b^{3}}$

Step 1

Cancel the common factor of $25$ and $- 5$ .

Factor $5$ out of $25 a^{13} b^{4}$ .

$\frac{5 (5 a^{13} b^{4})}{- 5 a^{2} b^{3}}$

Cancel the common factors.

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

$\frac{5 (5 a^{13} b^{4})}{5 (- a^{2} b^{3})}$

Cancel the common factor.

$\frac{5 (5 a^{13} b^{4})}{5 (- a^{2} b^{3})}$

Rewrite the expression.

$\frac{5 a^{13} b^{4}}{- a^{2} b^{3}}$

Step 2

Cancel the common factor of $a^{13}$ and $a^{2}$ .

Factor $a^{2}$ out of $5 a^{13} b^{4}$ .

$\frac{a^{2} (5 a^{11} b^{4})}{- a^{2} b^{3}}$

Cancel the common factors.

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

$\frac{a^{2} (5 a^{11} b^{4})}{a^{2} (- 1 b^{3})}$

Cancel the common factor.

$\frac{a^{2} (5 a^{11} b^{4})}{a^{2} (- 1 b^{3})}$

Rewrite the expression.

$\frac{5 a^{11} b^{4}}{- 1 b^{3}}$

Step 3

Cancel the common factor of $b^{4}$ and $b^{3}$ .

Factor $b^{3}$ out of $5 a^{11} b^{4}$ .

$\frac{b^{3} (5 a^{11} b)}{- 1 b^{3}}$

Move the negative one from the denominator of $\frac{5 a^{11} b}{- 1}$ .

$- 1 \cdot (5 a^{11} b)$

Step 4

Simplify the expression.

Rewrite $- 1 \cdot (5 a^{11} b)$ as $- (5 a^{11} b)$ .

$- (5 a^{11} b)$

Multiply $5$ by $- 1$ .

$- 5 a^{11} b$