What is the correct simplification of the expression 6x^2y^2 * y^2 * 3?

To simplify the expression 6x2y2y23, we will follow the steps of combining like terms and performing multiplication.

1. **First, write the expression clearly:**

This can be expressed as:

6 * x2 * y2 * y2 * 3

2. **Now let’s group the coefficients and the variable parts:**

The coefficients are 6 and 3, which can be multiplied together:

6 * 3 = 18

3. **Next, we’ll simplify the variable parts:**

Here we have:

y2 * y2 = y{2+2} = y4

4. **Putting it all together:**

Thus, the expression simplifies to:

18x2y4

So, the correct simplification of the expression 6x2y2 * y2 * 3 is 18x2y4.

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