Which expression is equivalent to 3x^2y^3z?

To determine which expression is equivalent to \(3x^2y^3z\), we need to simplify each of the options provided and see which one matches this expression.

1. **Option 1**: \(x^2y^2z^2 \cdot 3y\)
\[
= 3y \cdot x^2y^2z^2 = 3x^2y^{2+1}z^2 = 3x^2y^3z^2
\]
This is not equivalent to \(3x^2y^3z\).

2. **Option 2**: \(xy^3 \cdot xz \cdot 3x\)
\[
= xy^3 \cdot 3x \cdot z = 3x^2y^3z
\]
This is equivalent to \(3x^2y^3z\).

3. **Option 3**: \(x^2y \cdot 3yz \cdot y\)
\[
= 3x^2y \cdot y \cdot z = 3x^2y^{1+1}z = 3x^2y^2z
\]
This is not equivalent to \(3x^2y^3z\).

4. **Option 4**: \(xy \cdot 3yz\)
\[
= 3xy \cdot yz = 3x \cdot y^{1+1} \cdot z = 3xy^2z
\]
This is not equivalent to \(3x^2y^3z\).

In conclusion, the equivalent expression to \(3x^2y^3z\) is from **Option 2**: \(xy^3 \cdot xz \cdot 3x\).