Simplify x/(3y)*(9y^4)/(3x^5)

$\frac{x}{3 y} \cdot \frac{9 y^{4}}{3 x^{5}}$

Step 1

Combine.

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

Step 2

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 3

Cancel the common factor of $9$ and $3$ .

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

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Step 4

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 5

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

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

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

Cancel the common factors.

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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