Simplify ((x^2y^3)/(y^2z))^m

${(\frac{x^{2} y^{3}}{y^{2} z})}^{m}$

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

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

${(\frac{y^{2} (x^{2} y)}{y^{2} z})}^{m}$

Cancel the common factors.

Factor $y^{2}$ out of $y^{2} z$ .

${(\frac{y^{2} (x^{2} y)}{y^{2} (z)})}^{m}$

Cancel the common factor.

${(\frac{y^{2} (x^{2} y)}{y^{2} z})}^{m}$

Rewrite the expression.

${(\frac{x^{2} y}{z})}^{m}$

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $\frac{x^{2} y}{z}$ .

$\frac{{(x^{2} y)}^{m}}{z^{m}}$

Apply the product rule to $x^{2} y$ .

$\frac{{(x^{2})}^{m} y^{m}}{z^{m}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{x^{2 m} y^{m}}{z^{m}}$