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It seems like your expression is missing some clarity due to the formatting. However, I can help simplify and work through it based on my understanding. The expression you've written appears to be:

\[
\left(x^2 y^{-1}\right)^{-2} \cdot \left(3x\right)^{-3} \cdot 3x^{-3}
\]

Is this correct? If so, let's simplify it step by step.

### Step 1: Simplify each part separately
- The first part: \(\left(x^2 y^{-1}\right)^{-2}\)
  \[
  \left(x^2 y^{-1}\right)^{-2} = \frac{1}{(x^2 y^{-1})^2} = \frac{1}{x^4 y^{-2}} = \frac{y^2}{x^4}
  \]

- The second part: \(\left(3x\right)^{-3}\)
  \[
  \left(3x\right)^{-3} = \frac{1}{(3x)^3} = \frac{1}{27x^3}
  \]

- The third part: \(3x^{-3}\)
  \[
  3x^{-3} = \frac{3}{x^3}
  \]

### Step 2: Multiply the simplified parts together
Now, we multiply the three simplified expressions:

\[
\frac{y^2}{x^4} \cdot \frac{1}{27x^3} \cdot \frac{3}{x^3} 
\]

### Step 3: Combine and simplify
Let's multiply them:

\[
\frac{y^2 \cdot 3}{x^4 \cdot 27x^3 \cdot x^3} = \frac{3y^2}{27x^{10}} = \frac{y^2}{9x^{10}}
\]

So, the simplified expression is:

\[
\boxed{\frac{y^2}{9x^{10}}}
\]

Would you like further details on this process or have any questions?

Here are some related questions for further practice:
1. Simplify \(\left(a^3 b^{-2}\right)^{-2} \cdot \left(2a\right)^{-3} \cdot 2a^{-3}\).
2. What happens when you simplify \(\left(4x^2 y^{-3}\right)^{-1} \cdot \left(2x^4 y\right)^{-2}\)?
3. Can you express \(\left(x^5 y^{-2}\right)^{-3} \cdot (4x^{-6})\) in its simplest form?
4. How do you simplify \(\left(2m^3 n^{-1}\right)^{-2} \cdot \left(5mn^{-4}\right)\)?
5. What is the simplified form of \(\left(x^2 y^3\right)^{-1} \cdot \left(3xy^{-2}\right)^{-2}\)?
6. Simplify \(\left(5x^2 y^{-1}\right)^{-3} \cdot \left(x^{-4}\right)^{2}\).
7. How would you simplify \(\left(3a^2 b^{-1}\right)^{-2} \cdot \left(4a^{-3}\right)\)?
8. Simplify \(\left(xy^2\right)^{-3} \cdot \left(5x^2 y^{-1}\right)^{-1}\).

**Tip:** When simplifying expressions with negative exponents, it's often helpful to rewrite them as fractions to see the relationships more clearly.

Learn how to simplify the expression (x^2 y^-1)^-2 * (3x)^-3 * 3x^-3 step-by-step. This problem involves simplifying expressions with negative exponents and demonstrates key algebraic techniques. Suitable for high school students in Grades 9-12.

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