Simplify (x^2)/9*18/(x^3)

$\frac{x^{2}}{9} \cdot \frac{18}{x^{3}}$

Step 1

Combine.

$\frac{x^{2} \cdot 18}{9 x^{3}}$

Step 2

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

Factor $x^{2}$ out of $x^{2} \cdot 18$ .

$\frac{x^{2} (18)}{9 x^{3}}$

Cancel the common factors.

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

$\frac{x^{2} (18)}{x^{2} (9 x)}$

Cancel the common factor.

$\frac{x^{2} \cdot 18}{x^{2} (9 x)}$

Rewrite the expression.

$\frac{18}{9 x}$

$\frac{18}{9 x}$

$\frac{18}{9 x}$

Step 3

Cancel the common factor of $18$ and $9$ .

Factor $9$ out of $18$ .

$\frac{9 \cdot 2}{9 x}$

Cancel the common factors.

Factor $9$ out of $9 x$ .

$\frac{9 \cdot 2}{9 (x)}$

Cancel the common factor.

$\frac{9 \cdot 2}{9 x}$

Rewrite the expression.

$\frac{2}{x}$

$\frac{2}{x}$

$\frac{2}{x}$

Related Questions