Which expression is equivalent to 3x2y3z3x2y3z ?(1 point) Responses xy3⋅yz⋅3xxy3⋅yz⋅3x x y cubed times y z times 3 x x2y⋅3yz⋅yx2y⋅3yz⋅y x squared y times 3 y z times y x2y2z2⋅3yx2y2z2⋅3y x squared y squared z squared times 3 y xy⋅3yz

1 answer

To simplify the expression \(3x^2y^3z^3x^2y^3z\), we can follow these steps:

  1. 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 \(z\): \(z^3 \cdot z = z^{3+1} = z^4\)
  2. 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.