Simplify ((x^5y^5)/(y^3))^2

${(\frac{x^{5} y^{5}}{y^{3}})}^{2}$

Cancel the common factor of $y^{5}$ and $y^{3}$ .

Factor $y^{3}$ out of $x^{5} y^{5}$ .

${(\frac{y^{3} (x^{5} y^{2})}{y^{3}})}^{2}$

Cancel the common factors.

Multiply by $1$ .

${(\frac{y^{3} (x^{5} y^{2})}{y^{3} \cdot 1})}^{2}$

Cancel the common factor.

${(\frac{y^{3} (x^{5} y^{2})}{y^{3} \cdot 1})}^{2}$

Rewrite the expression.

${(\frac{x^{5} y^{2}}{1})}^{2}$

Divide $x^{5} y^{2}$ by $1$ .

${(x^{5} y^{2})}^{2}$

Apply basic rules of exponents.

Apply the product rule to $x^{5} y^{2}$ .

${(x^{5})}^{2} {(y^{2})}^{2}$

Multiply the exponents in ${(x^{5})}^{2}$ .

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

$x^{5 \cdot 2} {(y^{2})}^{2}$

Multiply $5$ by $2$ .

$x^{10} {(y^{2})}^{2}$

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

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

$x^{10} y^{2 \cdot 2}$

Multiply $2$ by $2$ .

$x^{10} y^{4}$