Simplify (12/2)(x/(y^5))((y^4)/(x^4))

$(\frac{12}{2}) (\frac{x}{y^{5}}) (\frac{y^{4}}{x^{4}})$

Step 1

Combine.

$\frac{12 x}{2 y^{5}} \cdot \frac{y^{4}}{x^{4}}$

Step 2

Combine.

$\frac{12 x y^{4}}{2 y^{5} x^{4}}$

Step 3

Cancel the common factor of $12$ and $2$ .

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

$\frac{2 (6 x y^{4})}{2 y^{5} x^{4}}$

Cancel the common factors.

Factor $2$ out of $2 y^{5} x^{4}$ .

$\frac{2 (6 x y^{4})}{2 (y^{5} x^{4})}$

Cancel the common factor.

$\frac{2 (6 x y^{4})}{2 (y^{5} x^{4})}$

Rewrite the expression.

$\frac{6 x y^{4}}{y^{5} x^{4}}$

$\frac{6 x y^{4}}{y^{5} x^{4}}$

$\frac{6 x y^{4}}{y^{5} x^{4}}$

Step 4

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

Factor $x$ out of $6 x y^{4}$ .

$\frac{x (6 y^{4})}{y^{5} x^{4}}$

Cancel the common factors.

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

$\frac{x (6 y^{4})}{x (y^{5} x^{3})}$

Cancel the common factor.

$\frac{x (6 y^{4})}{x (y^{5} x^{3})}$

Rewrite the expression.

$\frac{6 y^{4}}{y^{5} x^{3}}$

$\frac{6 y^{4}}{y^{5} x^{3}}$

$\frac{6 y^{4}}{y^{5} x^{3}}$

Step 5

Cancel the common factor of $y^{4}$ and $y^{5}$ .

Factor $y^{4}$ out of $6 y^{4}$ .

$\frac{y^{4} \cdot 6}{y^{5} x^{3}}$

Cancel the common factors.

Factor $y^{4}$ out of $y^{5} x^{3}$ .

$\frac{y^{4} \cdot 6}{y^{4} (y x^{3})}$

Cancel the common factor.

$\frac{y^{4} \cdot 6}{y^{4} (y x^{3})}$

Rewrite the expression.

$\frac{6}{y x^{3}}$

$\frac{6}{y x^{3}}$

$\frac{6}{y x^{3}}$

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