**Solve for \[n\].**

\[\left(3^3\right)^{2}=n^6\]

\[n=\] 




To solve for \(n\) in the equation \(\left(3^3\right)^{2} = n^6\), follow these steps:

1. **Simplify the left side:**
   \[
   \left(3^3\right)^{2} = 3^{3 \times 2} = 3^6
   \]
   So the equation becomes:
   \[
   3^6 = n^6
   \]

2. **Take the sixth root of both sides:**
   \[
   n = \sqrt[6]{3^6}
   \]
   Simplifying further:
   \[
   n = 3
   \]

So, the solution is:
\[
n = 3
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you solve \(\left(2^4\right)^3 = n^{12}\) for \(n\)?
2. What is the simplified form of \(\left(4^2\right)^{3}\)?
3. How do you solve \(n^4 = 16\) for \(n\)?
4. What is the value of \(3^3\) and \(3^6\)?
5. Can you solve \(5^4 = n^2\) for \(n\)?

**Tip:** When raising a power to another power, multiply the exponents.

Learn how to solve the equation (3^3)^2 = n^6 step-by-step. Understand exponentiation rules and root extraction techniques. Suitable for Grades 7-9 students.

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