Simplify (1/(9x))/(9/(8x^3))

$\frac{\frac{1}{9 x}}{\frac{9}{8 x^{3}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{9 x} \cdot \frac{8 x^{3}}{9}$

Step 2

Combine.

$\frac{1 (8 x^{3})}{9 x \cdot 9}$

Step 3

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

Factor $x$ out of $1 (8 x^{3})$ .

$\frac{x (1 (8 x^{2}))}{9 x \cdot 9}$

Cancel the common factors.

Factor $x$ out of $9 x \cdot 9$ .

$\frac{x (1 (8 x^{2}))}{x (9 \cdot 9)}$

Cancel the common factor.

$\frac{x (1 (8 x^{2}))}{x (9 \cdot 9)}$

Rewrite the expression.

$\frac{1 (8 x^{2})}{9 \cdot 9}$

Step 4

Multiply.

Multiply $8$ by $1$ .

$\frac{8 x^{2}}{9 \cdot 9}$

Multiply $9$ by $9$ .

$\frac{8 x^{2}}{81}$