Simplify (-5/x)^2

${(- \frac{5}{x})}^{2}$

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

Apply the product rule to $- \frac{5}{x}$ .

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

Apply the product rule to $\frac{5}{x}$ .

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

Raise $- 1$ to the power of $2$ .

$1 \frac{5^{2}}{x^{2}}$

Multiply $\frac{5^{2}}{x^{2}}$ by $1$ .

$\frac{5^{2}}{x^{2}}$

Raise $5$ to the power of $2$ .

$\frac{25}{x^{2}}$