Answer :

Sure, let's break down the problem step-by-step:

We need to evaluate [tex]\( 7^3 \)[/tex].

1. Understand the Exponential Expression:
- The notation [tex]\( 7^3 \)[/tex] means that we need to multiply 7 by itself 3 times.

2. Perform the Multiplication:
- Start with the initial value: 7.
- Multiply by 7:
[tex]\[ 7 \times 7 = 49 \][/tex]
- Take the result and multiply by 7 again:
[tex]\[ 49 \times 7 = 343 \][/tex]

3. Conclusion:
- Therefore, the value of [tex]\( 7^3 \)[/tex] is [tex]\( 343 \)[/tex].

So, [tex]\(\boxed{343}\)[/tex] is the final answer.