Simplify (4/(x^3))÷(1/(x^2))

$\frac{4}{x^{3}} \div \frac{1}{x^{2}}$

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{x^{3}} x^{2}$

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

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

$\frac{4}{x^{2} x} x^{2}$

Cancel the common factor.

$\frac{4}{x^{2} x} x^{2}$

Rewrite the expression.

$\frac{4}{x}$