Sure, let's go through the steps to calculate [tex]\( 5^4 \)[/tex]:
1. Identify the base and the exponent.
The base is 5, and the exponent is 4. This means we are multiplying 5 by itself a total of 4 times.
2. Perform the multiplication step by step.
- First, calculate [tex]\( 5 \times 5 \)[/tex]:
[tex]\[
5 \times 5 = 25
\][/tex]
- Next, take the result (25) and multiply it by 5 again:
[tex]\[
25 \times 5 = 125
\][/tex]
- Finally, take the result (125) and multiply it by 5 one more time:
[tex]\[
125 \times 5 = 625
\][/tex]
Therefore, [tex]\( 5^4 = 625 \)[/tex].
