Simplify (1/x)÷(1/(x^2))

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $x$ .

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

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

Cancel the common factor.

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

Rewrite the expression.

$x$