Answer :

To solve for [tex]\(5^4\)[/tex], we need to evaluate the expression where 5 is raised to the power of 4. Let's break this down step by step:

1. The expression [tex]\(5^4\)[/tex] means that we multiply the base, which is 5, by itself a total of four times:
[tex]\[ 5^4 = 5 \times 5 \times 5 \times 5 \][/tex]

2. Begin by calculating the multiplications two at a time to simplify the process.

First, we calculate [tex]\(5 \times 5\)[/tex]:
[tex]\[ 5 \times 5 = 25 \][/tex]

3. Next, we take this intermediate result, which is 25, and multiply it by the next 5:
[tex]\[ 25 \times 5 = 125 \][/tex]

4. Finally, we take the result of 125 and multiply it by the last 5:
[tex]\[ 125 \times 5 = 625 \][/tex]

So, the value of [tex]\(5^4\)[/tex] is
[tex]\[ 5^4 = 625 \][/tex]