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

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

Step 1

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

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 2

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

Factor $x^{2}$ out of $x^{4} y^{3}$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 3

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

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

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

Cancel the common factors.

Factor $y$ out of $- 2 y$ .

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

Cancel the common factor.

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

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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