Simplify 7/(9x^2)*6/(7x)

$\frac{7}{9 x^{2}} \cdot \frac{6}{7 x}$

Combine.

$\frac{7 \cdot 6}{9 x^{2} (7 x)}$

Multiply $x^{2}$ by $x$ by adding the exponents.

Move $x$ .

$\frac{7 \cdot 6}{9 (x \cdot x^{2}) \cdot 7}$

Multiply $x$ by $x^{2}$ .

Raise $x$ to the power of $1$ .

$\frac{7 \cdot 6}{9 (x^{1} x^{2}) \cdot 7}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{7 \cdot 6}{9 x^{1 + 2} \cdot 7}$

Add $1$ and $2$ .

$\frac{7 \cdot 6}{9 x^{3} \cdot 7}$

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 \cdot 6}{9 x^{3} \cdot 7}$

Rewrite the expression.

$\frac{6}{9 x^{3}}$

Cancel the common factor of $6$ and $9$ .

Factor $3$ out of $6$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{2}{3 x^{3}}$