Simplify (-7x^5y^5z^4)/(21x^7y^5z^2)

$\frac{- 7 x^{5} y^{5} z^{4}}{21 x^{7} y^{5} z^{2}}$

Step 1

Cancel the common factor of $- 7$ and $21$ .

Factor $7$ out of $- 7 x^{5} y^{5} z^{4}$ .

$\frac{7 (- x^{5} y^{5} z^{4})}{21 x^{7} y^{5} z^{2}}$

Cancel the common factors.

Factor $7$ out of $21 x^{7} y^{5} z^{2}$ .

$\frac{7 (- x^{5} y^{5} z^{4})}{7 (3 x^{7} y^{5} z^{2})}$

Cancel the common factor.

$\frac{7 (- x^{5} y^{5} z^{4})}{7 (3 x^{7} y^{5} z^{2})}$

Rewrite the expression.

$\frac{- x^{5} y^{5} z^{4}}{3 x^{7} y^{5} z^{2}}$

Step 2

Cancel the common factor of $x^{5}$ and $x^{7}$ .

Factor $x^{5}$ out of $- x^{5} y^{5} z^{4}$ .

$\frac{x^{5} (- 1 y^{5} z^{4})}{3 x^{7} y^{5} z^{2}}$

Cancel the common factors.

Factor $x^{5}$ out of $3 x^{7} y^{5} z^{2}$ .

$\frac{x^{5} (- 1 y^{5} z^{4})}{x^{5} (3 x^{2} y^{5} z^{2})}$

Cancel the common factor.

$\frac{x^{5} (- 1 y^{5} z^{4})}{x^{5} (3 x^{2} y^{5} z^{2})}$

Rewrite the expression.

$\frac{- 1 y^{5} z^{4}}{3 x^{2} y^{5} z^{2}}$

Step 3

Cancel the common factor of $y^{5}$ .

Cancel the common factor.

$\frac{- 1 y^{5} z^{4}}{3 x^{2} y^{5} z^{2}}$

Rewrite the expression.

$\frac{- 1 z^{4}}{3 x^{2} z^{2}}$

Step 4

Cancel the common factor of $z^{4}$ and $z^{2}$ .

Factor $z^{2}$ out of $- 1 z^{4}$ .

$\frac{z^{2} (- 1 z^{2})}{3 x^{2} z^{2}}$

Cancel the common factors.

Factor $z^{2}$ out of $3 x^{2} z^{2}$ .

$\frac{z^{2} (- 1 z^{2})}{z^{2} (3 x^{2})}$

Cancel the common factor.

$\frac{z^{2} (- 1 z^{2})}{z^{2} (3 x^{2})}$

Rewrite the expression.

$\frac{- 1 z^{2}}{3 x^{2}}$

Step 5

Move the negative in front of the fraction.

$- \frac{z^{2}}{3 x^{2}}$