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We are given the expression:

\[
(-5) \times (-5) \times (-5) \times (-5)
\]

We need to simplify this expression and find the correct answer among the options provided.

### Step-by-step Solution:

1. Start by grouping the terms two at a time:
   \[
   (-5) \times (-5) = 25
   \]
   Similarly, for the other two terms:
   \[
   (-5) \times (-5) = 25
   \]

2. Now, multiply the results:
   \[
   25 \times 25 = 625
   \]

So, the final answer is \( 625 \).

### Equivalent Exponential Form:

We notice that the expression involves multiplying four instances of \(-5\), which can be written in exponential form as:
\[
(-5)^4
\]

### Final Answer:
The correct option is **D. \( (-5)^4 \)**.

Do you have any further questions or would you like more details?

### Related Questions:
1. What would be the result of \( (-5)^5 \)?
2. How does the sign of a number change when multiplying an odd number of negative terms?
3. How do we handle expressions like \( (-5)^6 \) involving even powers?
4. What is the difference between \( (-5)^4 \) and \( -5^4 \)?
5. Can this concept be extended to fractions or decimals?

**Tip**: When multiplying an even number of negative terms, the result is always positive.

(-5) x (-5) x (-5) x (-5) = ......
A. -2a
B. -5^4
C. -4^5
D. (-5)^4

Learn how to simplify the expression (-5) x (-5) x (-5) x (-5) and understand how to express it as (-5)^4 = 625. This problem involves exponentiation and multiplication of negative numbers, suitable for students in Grades 7-8.

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