Simplify (1/(x^3))÷(2/x)

$\frac{1}{x^{3}} \div \frac{2}{x}$

To divide by a fraction, multiply by its reciprocal.

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

Combine.

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

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

Factor $x$ out of $1 x$ .

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

Cancel the common factors.

Factor $x$ out of $x^{3} \cdot 2$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{x^{2} \cdot 2}$

Move $2$ to the left of $x^{2}$ .

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