To determine which expression is equivalent to \( 3x^2y^3z \), let's analyze each response.
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Response 1: \( x^2y^2z^2 \cdot 3y \)
- This simplifies to \( 3x^2y^3z^2 \), which is not equivalent.
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Response 2: \( xy \cdot 3yz \)
- This simplifies to \( 3xy^2z \), which is not equivalent.
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Response 3: \( x^2y \cdot 3yz \cdot y \)
- This simplifies to \( 3x^2y^2z \), which is not equivalent.
After analyzing all responses, none of them simplifies to \( 3x^2y^3z \). Therefore, none of the expressions provided are equivalent to \( 3x^2y^3z \).
If you had a different intention or needed to check specific substitutions or calculations, please let me know!