Fill in the blanks
In the expression `(-7)^(5)" "` base = ...., index = ......

Answer

To solve the question, we need to identify the base and the index in the expression \((-7)^{5}\).

### Step-by-Step Solution:

1. **Identify the Expression**: The given expression is \((-7)^{5}\).

2. **Understand the Components**: In exponential notation, the expression is written in the form \(a^{b}\), where:
- \(a\) is the base (the number being multiplied).
- \(b\) is the index (the number of times the base is multiplied by itself).

3. **Determine the Base**: In our expression \((-7)^{5}\), the base is the number inside the parentheses, which is \(-7\).

4. **Determine the Index**: The index is the exponent, which is the number written above the base. In this case, it is \(5\).

5. **Fill in the Blanks**:
- Base = \(-7\)
- Index = \(5\)

### Final Answer:
- Base = \(-7\)
- Index = \(5\)