Simplify (p/(q^2))/((p^2)/q)

$\frac{\frac{p}{q^{2}}}{\frac{p^{2}}{q}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{p}{q^{2}} \cdot \frac{q}{p^{2}}$

Combine.

$\frac{p q}{q^{2} p^{2}}$

Cancel the common factor of $p$ and $p^{2}$ .

Factor $p$ out of $p q$ .

$\frac{p (q)}{q^{2} p^{2}}$

Cancel the common factors.

Factor $p$ out of $q^{2} p^{2}$ .

$\frac{p (q)}{p (q^{2} p)}$

Cancel the common factor.

$\frac{p q}{p (q^{2} p)}$

Rewrite the expression.

$\frac{q}{q^{2} p}$

Cancel the common factor of $q$ and $q^{2}$ .

Raise $q$ to the power of $1$ .

$\frac{q^{1}}{q^{2} p}$

Factor $q$ out of $q^{1}$ .

$\frac{q \cdot 1}{q^{2} p}$

Cancel the common factors.

Factor $q$ out of $q^{2} p$ .

$\frac{q \cdot 1}{q (q p)}$

Cancel the common factor.

$\frac{q \cdot 1}{q (q p)}$

Rewrite the expression.

$\frac{1}{q p}$