The problem you uploaded is focused on evaluating the expression $5^{-4}$. The structure in the image indicates steps to express it as a fraction.

Here’s how to solve it:

Step-by-Step Solution:

1. Base and Negative Exponent: The expression $5^{-4}$ means the reciprocal of $5^4$.

2. Reciprocal Representation: $5^{-4} = \frac{1}{5^4}$

3. Evaluate $5^4$: $5^4 = 5 \times 5 \times 5 \times 5 = 625$

4. Final Answer: $5^{-4} = \frac{1}{625}$

So, the boxes in your image correspond to filling in $5^4$ and then simplifying it to $625$, making the expression: $\frac{1}{625}$

Let me know if you have questions or would like further explanation!

Here are 5 related questions:

1. What does $a^{-n}$ mean in general for any base $a$ and positive integer $n$?
2. How do we evaluate powers like $2^{-3}$?
3. What is the value of $10^{-5}$ in fractional form?
4. Can negative exponents apply to fractions, such as $\left( \frac{3}{2} \right)^{-2}$?
5. How do we simplify expressions with both positive and negative exponents like $2^3 \times 2^{-2}$?

Tip:

When dealing with negative exponents, remember that they indicate the reciprocal of the base raised to the positive version of the exponent.