Simplify (10x^3)/(11y^2)*(121y^5)/(25x)

$\frac{10 x^{3}}{11 y^{2}} \cdot \frac{121 y^{5}}{25 x}$

Step 1

Combine.

$\frac{10 x^{3} (121 y^{5})}{11 y^{2} (25 x)}$

Step 2

Cancel the common factor of $10$ and $25$ .

Factor $5$ out of $10 x^{3} (121 y^{5})$ .

$\frac{5 (2 x^{3} (121 y^{5}))}{11 y^{2} (25 x)}$

Cancel the common factors.

Factor $5$ out of $11 y^{2} (25 x)$ .

$\frac{5 (2 x^{3} (121 y^{5}))}{5 (11 y^{2} (5 x))}$

Cancel the common factor.

$\frac{5 (2 x^{3} (121 y^{5}))}{5 (11 y^{2} (5 x))}$

Rewrite the expression.

$\frac{2 x^{3} (121 y^{5})}{11 y^{2} (5 x)}$

Step 3

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

Factor $x$ out of $2 x^{3} (121 y^{5})$ .

$\frac{x (2 x^{2} (121 y^{5}))}{11 y^{2} (5 x)}$

Cancel the common factors.

Factor $x$ out of $11 y^{2} (5 x)$ .

$\frac{x (2 x^{2} (121 y^{5}))}{x (11 y^{2} \cdot (5))}$

Cancel the common factor.

$\frac{x (2 x^{2} (121 y^{5}))}{x (11 y^{2} \cdot (5))}$

Rewrite the expression.

$\frac{2 x^{2} (121 y^{5})}{11 y^{2} \cdot (5)}$

Step 4

Cancel the common factor of $121$ and $11$ .

Factor $11$ out of $2 x^{2} (121 y^{5})$ .

$\frac{11 (2 x^{2} (11 y^{5}))}{11 y^{2} \cdot (5)}$

Cancel the common factors.

Factor $11$ out of $11 y^{2} \cdot (5)$ .

$\frac{11 (2 x^{2} (11 y^{5}))}{11 (y^{2} \cdot (5))}$

Cancel the common factor.

$\frac{11 (2 x^{2} (11 y^{5}))}{11 (y^{2} \cdot (5))}$

Rewrite the expression.

$\frac{2 x^{2} (11 y^{5})}{y^{2} \cdot (5)}$

Step 5

Cancel the common factor of $y^{5}$ and $y^{2}$ .

Factor $y^{2}$ out of $2 x^{2} (11 y^{5})$ .

$\frac{y^{2} (2 x^{2} (11 y^{3}))}{y^{2} \cdot (5)}$

Cancel the common factors.

Factor $y^{2}$ out of $y^{2} \cdot (5)$ .

$\frac{y^{2} (2 x^{2} (11 y^{3}))}{y^{2} (5)}$

Cancel the common factor.

$\frac{y^{2} (2 x^{2} (11 y^{3}))}{y^{2} \cdot 5}$

Rewrite the expression.

$\frac{2 x^{2} (11 y^{3})}{5}$

Step 6

Multiply $11$ by $2$ .

$\frac{22 x^{2} y^{3}}{5}$

Simplify (10x^3)/(11y^2)*(121y^5)/(25x)

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