Simplify (-6a^4bc^8)/(36a^7b^2c)

$\frac{- 6 a^{4} b c^{8}}{36 a^{7} b^{2} c}$

Step 1

Cancel the common factor of $- 6$ and $36$ .

Factor $6$ out of $- 6 a^{4} b c^{8}$ .

$\frac{6 (- a^{4} b c^{8})}{36 a^{7} b^{2} c}$

Cancel the common factors.

Factor $6$ out of $36 a^{7} b^{2} c$ .

$\frac{6 (- a^{4} b c^{8})}{6 (6 a^{7} b^{2} c)}$

Cancel the common factor.

$\frac{6 (- a^{4} b c^{8})}{6 (6 a^{7} b^{2} c)}$

Rewrite the expression.

$\frac{- a^{4} b c^{8}}{6 a^{7} b^{2} c}$

$\frac{- a^{4} b c^{8}}{6 a^{7} b^{2} c}$

$\frac{- a^{4} b c^{8}}{6 a^{7} b^{2} c}$

Step 2

Cancel the common factor of $a^{4}$ and $a^{7}$ .

Factor $a^{4}$ out of $- a^{4} b c^{8}$ .

$\frac{a^{4} (- 1 b c^{8})}{6 a^{7} b^{2} c}$

Cancel the common factors.

Factor $a^{4}$ out of $6 a^{7} b^{2} c$ .

$\frac{a^{4} (- 1 b c^{8})}{a^{4} (6 a^{3} b^{2} c)}$

Cancel the common factor.

$\frac{a^{4} (- 1 b c^{8})}{a^{4} (6 a^{3} b^{2} c)}$

Rewrite the expression.

$\frac{- 1 b c^{8}}{6 a^{3} b^{2} c}$

$\frac{- 1 b c^{8}}{6 a^{3} b^{2} c}$

$\frac{- 1 b c^{8}}{6 a^{3} b^{2} c}$

Step 3

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

Factor $b$ out of $- 1 b c^{8}$ .

$\frac{b (- 1 c^{8})}{6 a^{3} b^{2} c}$

Cancel the common factors.

Factor $b$ out of $6 a^{3} b^{2} c$ .

$\frac{b (- 1 c^{8})}{b (6 a^{3} b c)}$

Cancel the common factor.

$\frac{b (- 1 c^{8})}{b (6 a^{3} b c)}$

Rewrite the expression.

$\frac{- 1 c^{8}}{6 a^{3} b c}$

$\frac{- 1 c^{8}}{6 a^{3} b c}$

$\frac{- 1 c^{8}}{6 a^{3} b c}$

Step 4

Cancel the common factor of $c^{8}$ and $c$ .

Factor $c$ out of $- 1 c^{8}$ .

$\frac{c (- 1 c^{7})}{6 a^{3} b c}$

Cancel the common factors.

Factor $c$ out of $6 a^{3} b c$ .

$\frac{c (- 1 c^{7})}{c (6 a^{3} b)}$

Cancel the common factor.

$\frac{c (- 1 c^{7})}{c (6 a^{3} b)}$

Rewrite the expression.

$\frac{- 1 c^{7}}{6 a^{3} b}$

$\frac{- 1 c^{7}}{6 a^{3} b}$

$\frac{- 1 c^{7}}{6 a^{3} b}$

Step 5

Move the negative in front of the fraction.

$- \frac{c^{7}}{6 a^{3} b}$

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