Simplify (4x^3y^4)/(-8xy^2)

$\frac{4 x^{3} y^{4}}{- 8 x y^{2}}$

Step 1

Cancel the common factor of $4$ and $- 8$ .

Factor $4$ out of $4 x^{3} y^{4}$ .

$\frac{4 (x^{3} y^{4})}{- 8 x y^{2}}$

Cancel the common factors.

Factor $4$ out of $- 8 x y^{2}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

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

Factor $x$ out of $x^{3} y^{4}$ .

$\frac{x (x^{2} y^{4})}{- 2 x y^{2}}$

Cancel the common factors.

Factor $x$ out of $- 2 x y^{2}$ .

$\frac{x (x^{2} y^{4})}{x (- 2 y^{2})}$

Cancel the common factor.

$\frac{x (x^{2} y^{4})}{x (- 2 y^{2})}$

Rewrite the expression.

$\frac{x^{2} y^{4}}{- 2 y^{2}}$

$\frac{x^{2} y^{4}}{- 2 y^{2}}$

$\frac{x^{2} y^{4}}{- 2 y^{2}}$

Step 3

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

Factor $y^{2}$ out of $x^{2} y^{4}$ .

$\frac{y^{2} (x^{2} y^{2})}{- 2 y^{2}}$

Cancel the common factors.

Factor $y^{2}$ out of $- 2 y^{2}$ .

$\frac{y^{2} (x^{2} y^{2})}{y^{2} \cdot - 2}$

Cancel the common factor.

$\frac{y^{2} (x^{2} y^{2})}{y^{2} \cdot - 2}$

Rewrite the expression.

$\frac{x^{2} y^{2}}{- 2}$

$\frac{x^{2} y^{2}}{- 2}$

$\frac{x^{2} y^{2}}{- 2}$

Step 4

Move the negative in front of the fraction.

$- \frac{x^{2} y^{2}}{2}$

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