Sure! Let's simplify the expression \(\left(x^3\right)^2\) step-by-step.
Given expression: \(\left(x^3\right)^2\)
We will use the exponentiation rule for this simplification, which states that \((a^m)^n = a^{m*n}\).
In our expression:
- \(a = x\)
- \(m = 3\)
- \(n = 2\)
Applying the rule:
[tex]\[
(a^m)^n = x^{3 \cdot 2} = x^6
\][/tex]
Thus, the expression \(\left(x^3\right)^2\) simplifies to \(x^6\).
The correct answer is \( \boxed{x^6} \).
Therefore, the correct choice is:
C. [tex]\(x^6\)[/tex]
