Simplify ((p^-2)^0)/(5p^-4)

$\frac{{(p^{- 2})}^{0}}{5 p^{- 4}}$

Move $p^{- 4}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{{(p^{- 2})}^{0} p^{4}}{5}$

Simplify the numerator.

Multiply the exponents in ${(p^{- 2})}^{0}$ .

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

$\frac{p^{- 2 \cdot 0} p^{4}}{5}$

Multiply $- 2$ by $0$ .

$\frac{p^{0} p^{4}}{5}$

Anything raised to $0$ is $1$ .

$\frac{1 p^{4}}{5}$

Multiply $p^{4}$ by $1$ .

$\frac{p^{4}}{5}$