Simplify (1/x)/(1/(x^2))

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

Multiply the numerator by the reciprocal of the denominator.

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

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.

$x$