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]
