Simplify 1/(9x^3)*(3x)/(2a^2)

$\frac{1}{9 x^{3}} \cdot \frac{3 x}{2 a^{2}}$

Step 1

Combine.

$\frac{1 (3 x)}{9 x^{3} (2 a^{2})}$

Step 2

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

Factor $3$ out of $1 (3 x)$ .

$\frac{3 (1 (x))}{9 x^{3} (2 a^{2})}$

Cancel the common factors.

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

$\frac{3 (1 (x))}{3 (3 x^{3} (2 a^{2}))}$

Cancel the common factor.

$\frac{3 (1 (x))}{3 (3 x^{3} (2 a^{2}))}$

Rewrite the expression.

$\frac{1 (x)}{3 x^{3} (2 a^{2})}$

$\frac{1 (x)}{3 x^{3} (2 a^{2})}$

$\frac{1 (x)}{3 x^{3} (2 a^{2})}$

Step 3

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

Factor $x$ out of $1 (x)$ .

$\frac{x \cdot 1}{3 x^{3} (2 a^{2})}$

Cancel the common factors.

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

$\frac{x \cdot 1}{x (3 x^{2} (2 a^{2}))}$

Cancel the common factor.

$\frac{x \cdot 1}{x (3 x^{2} (2 a^{2}))}$

Rewrite the expression.

$\frac{1}{3 x^{2} (2 a^{2})}$

$\frac{1}{3 x^{2} (2 a^{2})}$

$\frac{1}{3 x^{2} (2 a^{2})}$

Step 4

Multiply $2$ by $3$ .

$\frac{1}{6 x^{2} a^{2}}$

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