Simplify ((q^2r^3)/(qr^2))^5

${(\frac{q^{2} r^{3}}{q r^{2}})}^{5}$

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

Factor $q$ out of $q^{2} r^{3}$ .

${(\frac{q (q r^{3})}{q r^{2}})}^{5}$

Cancel the common factors.

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

${(\frac{q (q r^{3})}{q (r^{2})})}^{5}$

Cancel the common factor.

${(\frac{q (q r^{3})}{q r^{2}})}^{5}$

Rewrite the expression.

${(\frac{q r^{3}}{r^{2}})}^{5}$

${(\frac{q r^{3}}{r^{2}})}^{5}$

${(\frac{q r^{3}}{r^{2}})}^{5}$

Cancel the common factor of $r^{3}$ and $r^{2}$ .

Factor $r^{2}$ out of $q r^{3}$ .

${(\frac{r^{2} (q r)}{r^{2}})}^{5}$

Cancel the common factors.

Multiply by $1$ .

${(\frac{r^{2} (q r)}{r^{2} \cdot 1})}^{5}$

Cancel the common factor.

${(\frac{r^{2} (q r)}{r^{2} \cdot 1})}^{5}$

Rewrite the expression.

${(\frac{q r}{1})}^{5}$

Divide $q r$ by $1$ .

${(q r)}^{5}$

${(q r)}^{5}$

${(q r)}^{5}$

Apply the product rule to $q r$ .

$q^{5} r^{5}$

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