The value of $5^{-4}$ is calculated as:

$5^{-4} = \frac{1}{5^4} = \frac{1}{625}$

So, $5^{-4} = \frac{1}{625}$.

Would you like more details or have any questions?

Here are 5 related questions:

1. What is $2^{-3}$?
2. How would you calculate $10^{-2}$?
3. What is the general formula for negative exponents?
4. Can you simplify $(5^{-2})(5^3)$?
5. How does $5^0$ differ from $5^{-1}$?

Tip: A negative exponent means the reciprocal of the base raised to the corresponding positive power.