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

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

Step 1

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

Cancel the common factor.

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

Divide $x^{2}$ by $1$ .

${(x^{2})}^{3}$

Step 2

Multiply the exponents in ${(x^{2})}^{3}$ .

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

$x^{2 \cdot 3}$

Multiply $2$ by $3$ .

$x^{6}$