To simplify the expression \(3x^2y^3z^3x^2y^3z\), we can follow these steps:
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Combine the \(x\), \(y\), and \(z\) terms:
- For \(x\): \(x^2 \cdot x^2 = x^{2+2} = x^4\)
- For \(y\): \(y^3 \cdot y^3 = y^{3+3} = y^6\)
- For \(z\): \(z^3 \cdot z = z^{3+1} = z^4\)
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Write the entire expression:
- Combine everything together: \(3x^4y^6z^4\)
Now let's look for an equivalent expression:
Given the provided responses format and the simplified equivalent expression, it appears you might be looking for a specific factorization or combination of the terms that amount to \(3x^4y^6z^4\).
However, from the responses you provided, none precisely match the simplified form \(3x^4y^6z^4\).
So, if you need just the simplified expression, it would be \(3x^4y^6z^4\).
If you have specific options to compare against, please list them out exactly so I can evaluate them better.