Simplify ((x^(n+5))/y)^2

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

Step 1

Apply the product rule to $\frac{x^{n + 5}}{y}$ .

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

Step 2

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

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

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

Apply the distributive property.

$\frac{x^{n \cdot 2 + 5 \cdot 2}}{y^{2}}$

Move $2$ to the left of $n$ .

$\frac{x^{2 \cdot n + 5 \cdot 2}}{y^{2}}$

Multiply $5$ by $2$ .

$\frac{x^{2 n + 10}}{y^{2}}$