Simplify (x^2y^0z^5)^-5

${(x^{2} y^{0} z^{5})}^{- 5}$

Anything raised to $0$ is $1$ .

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

Multiply $x^{2}$ by $1$ .

${(x^{2} z^{5})}^{- 5}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

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

Simplify the denominator.

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

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

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

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

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

Multiply $2$ by $5$ .

$\frac{1}{x^{10} {(z^{5})}^{5}}$

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

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

$\frac{1}{x^{10} z^{5 \cdot 5}}$

Multiply $5$ by $5$ .

$\frac{1}{x^{10} z^{25}}$