To write the expression [tex]\(5 \times 5 \times 5 \times 5\)[/tex] using exponents, we need to count how many times the number 5 is being multiplied by itself.
Here, the number 5 appears four times. When a number is multiplied by itself multiple times, we express it using exponents.
In general, [tex]\(a \times a \times a \times a \cdots \times a\)[/tex] (where [tex]\(a\)[/tex] is multiplied [tex]\(n\)[/tex] times) can be written as [tex]\(a^n\)[/tex].
Applying this to our specific problem:
[tex]\[5 \times 5 \times 5 \times 5\][/tex]
Since the number 5 is multiplied by itself four times, we can write this as:
[tex]\[5^4\][/tex]
Thus, the correct choice is:
D. [tex]\(5^4\)[/tex]