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.

Discover how to calculate 5 to the power of -4 using the negative exponent rule. Learn that 5^-4 equals 1/625 by applying the reciprocal of 5 raised to the positive exponent 4. This problem is ideal for students in Grades 6-8.

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