Simplify ((x^8y)/(x^5y))^2

${(\frac{x^{8} y}{x^{5} y})}^{2}$

Step 1

Cancel the common factor of $x^{8}$ and $x^{5}$ .

Factor $x^{5}$ out of $x^{8} y$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

Cancel the common factor of $y$ .

Cancel the common factor.

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

Divide $x^{3}$ by $1$ .

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

Step 3

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

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

$x^{3 \cdot 2}$

Multiply $3$ by $2$ .

$x^{6}$