Simplify (d^0x^5)^-1

${(d^{0} x^{5})}^{- 1}$

Anything raised to $0$ is $1$ .

${(1 x^{5})}^{- 1}$

Multiply $x^{5}$ by $1$ .

${(x^{5})}^{- 1}$

Multiply the exponents in ${(x^{5})}^{- 1}$ .

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

$x^{5 \cdot - 1}$

Multiply $5$ by $- 1$ .

$x^{- 5}$

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

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