Divide ((5x^3)/(3x^2y))÷(25/(3y^9))

$\frac{5 x^{3}}{3 x^{2} y} \div \frac{25}{3 y^{9}}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{5 x^{3}}{3 x^{2} y} \cdot \frac{3 y^{9}}{25}$

Step 2

Combine.

$\frac{5 x^{3} (3 y^{9})}{3 x^{2} y \cdot 25}$

Step 3

Cancel the common factor of $5$ and $25$ .

Factor $5$ out of $5 x^{3} (3 y^{9})$ .

$\frac{5 (x^{3} (3 y^{9}))}{3 x^{2} y \cdot 25}$

Cancel the common factors.

Factor $5$ out of $3 x^{2} y \cdot 25$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 4

Cancel the common factor of $x^{3}$ and $x^{2}$ .

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

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

Cancel the common factors.

Factor $x^{2}$ out of $3 x^{2} y \cdot 5$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 5

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 6

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

Factor $y$ out of $x (y^{9})$ .

$\frac{y (x (y^{8}))}{y \cdot 5}$

Cancel the common factors.

Factor $y$ out of $y \cdot 5$ .

$\frac{y (x (y^{8}))}{y (5)}$

Cancel the common factor.

$\frac{y (x (y^{8}))}{y \cdot 5}$

Rewrite the expression.

$\frac{x (y^{8})}{5}$

$\frac{x y^{8}}{5}$

Divide ((5x^3)/(3x^2y))÷(25/(3y^9))

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