Simplify (5x^2y^9)/(15y^9x^4)

$\frac{5 x^{2} y^{9}}{15 y^{9} x^{4}}$

Cancel the common factor of $5$ and $15$ .

Factor $5$ out of $5 x^{2} y^{9}$ .

$\frac{5 (x^{2} y^{9})}{15 y^{9} x^{4}}$

Cancel the common factors.

Factor $5$ out of $15 y^{9} x^{4}$ .

$\frac{5 (x^{2} y^{9})}{5 (3 y^{9} x^{4})}$

Cancel the common factor.

$\frac{5 (x^{2} y^{9})}{5 (3 y^{9} x^{4})}$

Rewrite the expression.

$\frac{x^{2} y^{9}}{3 y^{9} x^{4}}$

$\frac{x^{2} y^{9}}{3 y^{9} x^{4}}$

$\frac{x^{2} y^{9}}{3 y^{9} x^{4}}$

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

Factor $x^{2}$ out of $x^{2} y^{9}$ .

$\frac{x^{2} (y^{9})}{3 y^{9} x^{4}}$

Cancel the common factors.

Factor $x^{2}$ out of $3 y^{9} x^{4}$ .

$\frac{x^{2} (y^{9})}{x^{2} (3 y^{9} x^{2})}$

Cancel the common factor.

$\frac{x^{2} y^{9}}{x^{2} (3 y^{9} x^{2})}$

Rewrite the expression.

$\frac{y^{9}}{3 y^{9} x^{2}}$

$\frac{y^{9}}{3 y^{9} x^{2}}$

$\frac{y^{9}}{3 y^{9} x^{2}}$

Cancel the common factor of $y^{9}$ .

Cancel the common factor.

$\frac{y^{9}}{3 y^{9} x^{2}}$

Rewrite the expression.

$\frac{1}{3 x^{2}}$

$\frac{1}{3 x^{2}}$

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