Simplify (-(x^7)/(z^5))^2

${(- \frac{x^{7}}{z^{5}})}^{2}$

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

Apply the product rule to $- \frac{x^{7}}{z^{5}}$ .

${(- 1)}^{2} {(\frac{x^{7}}{z^{5}})}^{2}$

Apply the product rule to $\frac{x^{7}}{z^{5}}$ .

${(- 1)}^{2} \frac{{(x^{7})}^{2}}{{(z^{5})}^{2}}$

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

$1 \frac{{(x^{7})}^{2}}{{(z^{5})}^{2}}$

Multiply $\frac{{(x^{7})}^{2}}{{(z^{5})}^{2}}$ by $1$ .

$\frac{{(x^{7})}^{2}}{{(z^{5})}^{2}}$

Multiply the exponents in ${(x^{7})}^{2}$ .

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

$\frac{x^{7 \cdot 2}}{{(z^{5})}^{2}}$

Multiply $7$ by $2$ .

$\frac{x^{14}}{{(z^{5})}^{2}}$

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

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

$\frac{x^{14}}{z^{5 \cdot 2}}$

Multiply $5$ by $2$ .

$\frac{x^{14}}{z^{10}}$