Simplify (-28x^4y)/((2xy)^2)

$\frac{- 28 x^{4} y}{{(2 x y)}^{2}}$

Step 1

Simplify the denominator.

Apply the product rule to $2 x y$ .

$\frac{- 28 x^{4} y}{{(2 x)}^{2} y^{2}}$

Apply the product rule to $2 x$ .

$\frac{- 28 x^{4} y}{2^{2} x^{2} y^{2}}$

Raise $2$ to the power of $2$ .

$\frac{- 28 x^{4} y}{4 x^{2} y^{2}}$

$\frac{- 28 x^{4} y}{4 x^{2} y^{2}}$

Step 2

Reduce the expression by cancelling the common factors.

Cancel the common factor of $- 28$ and $4$ .

Factor $4$ out of $- 28 x^{4} y$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

Factor $x^{2}$ out of $- 7 x^{4} y$ .

$\frac{x^{2} (- 7 x^{2} y)}{x^{2} y^{2}}$

Cancel the common factors.

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

$\frac{x^{2} (- 7 x^{2} y)}{x^{2} (y^{2})}$

Cancel the common factor.

$\frac{x^{2} (- 7 x^{2} y)}{x^{2} y^{2}}$

Rewrite the expression.

$\frac{- 7 x^{2} y}{y^{2}}$

$\frac{- 7 x^{2} y}{y^{2}}$

$\frac{- 7 x^{2} y}{y^{2}}$

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

Factor $y$ out of $- 7 x^{2} y$ .

$\frac{y (- 7 x^{2})}{y^{2}}$

Cancel the common factors.

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

$\frac{y (- 7 x^{2})}{y \cdot y}$

Cancel the common factor.

$\frac{y (- 7 x^{2})}{y \cdot y}$

Rewrite the expression.

$\frac{- 7 x^{2}}{y}$

$\frac{- 7 x^{2}}{y}$

$\frac{- 7 x^{2}}{y}$

Move the negative in front of the fraction.

$- \frac{7 x^{2}}{y}$

$- \frac{7 x^{2}}{y}$

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