Simplify (64x^10y)/(-14x^12y^4)

$\frac{64 x^{10} y}{- 14 x^{12} y^{4}}$

Step 1

Cancel the common factor of $64$ and $- 14$ .

Factor $2$ out of $64 x^{10} y$ .

$\frac{2 (32 x^{10} y)}{- 14 x^{12} y^{4}}$

Cancel the common factors.

Factor $2$ out of $- 14 x^{12} y^{4}$ .

$\frac{2 (32 x^{10} y)}{2 (- 7 x^{12} y^{4})}$

Cancel the common factor.

$\frac{2 (32 x^{10} y)}{2 (- 7 x^{12} y^{4})}$

Rewrite the expression.

$\frac{32 x^{10} y}{- 7 x^{12} y^{4}}$

$\frac{32 x^{10} y}{- 7 x^{12} y^{4}}$

$\frac{32 x^{10} y}{- 7 x^{12} y^{4}}$

Step 2

Cancel the common factor of $x^{10}$ and $x^{12}$ .

Factor $x^{10}$ out of $32 x^{10} y$ .

$\frac{x^{10} (32 y)}{- 7 x^{12} y^{4}}$

Cancel the common factors.

Factor $x^{10}$ out of $- 7 x^{12} y^{4}$ .

$\frac{x^{10} (32 y)}{x^{10} (- 7 x^{2} y^{4})}$

Cancel the common factor.

$\frac{x^{10} (32 y)}{x^{10} (- 7 x^{2} y^{4})}$

Rewrite the expression.

$\frac{32 y}{- 7 x^{2} y^{4}}$

$\frac{32 y}{- 7 x^{2} y^{4}}$

$\frac{32 y}{- 7 x^{2} y^{4}}$

Step 3

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

Factor $y$ out of $32 y$ .

$\frac{y \cdot 32}{- 7 x^{2} y^{4}}$

Cancel the common factors.

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

$\frac{y \cdot 32}{y (- 7 x^{2} y^{3})}$

Cancel the common factor.

$\frac{y \cdot 32}{y (- 7 x^{2} y^{3})}$

Rewrite the expression.

$\frac{32}{- 7 x^{2} y^{3}}$

$\frac{32}{- 7 x^{2} y^{3}}$

$\frac{32}{- 7 x^{2} y^{3}}$

Step 4

Move the negative in front of the fraction.

$- \frac{32}{7 x^{2} y^{3}}$

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