Write the Fraction in Simplest Form (-3(z)^3)/(12b^4z^10)

$\frac{- 3 {(z)}^{3}}{12 b^{4} z^{10}}$

Step 1

Cancel the common factor of $- 3$ and $12$ .

Factor $3$ out of $- 3 {(z)}^{3}$ .

$\frac{3 (- {(z)}^{3})}{12 b^{4} z^{10}}$

Cancel the common factors.

Factor $3$ out of $12 b^{4} z^{10}$ .

$\frac{3 (- {(z)}^{3})}{3 (4 b^{4} z^{10})}$

Cancel the common factor.

$\frac{3 (- {(z)}^{3})}{3 (4 b^{4} z^{10})}$

Rewrite the expression.

$\frac{- {(z)}^{3}}{4 b^{4} z^{10}}$

Step 2

Cancel the common factor of ${(z)}^{3}$ and $z^{10}$ .

Factor $z^{3}$ out of $- {(z)}^{3}$ .

$\frac{{(z)}^{3} \cdot - 1}{4 b^{4} z^{10}}$

Cancel the common factors.

Factor $z^{3}$ out of $4 b^{4} z^{10}$ .

$\frac{{(z)}^{3} \cdot - 1}{z^{3} (4 b^{4} z^{7})}$

Cancel the common factor.

$\frac{{(z)}^{3} \cdot - 1}{z^{3} (4 b^{4} z^{7})}$

Rewrite the expression.

$\frac{- 1}{4 b^{4} z^{7}}$

Step 3

Move the negative in front of the fraction.

$- \frac{1}{4 b^{4} z^{7}}$