Choose the Correct Simplification of the Expression 6x²y²y²³

To simplify the expression 6x²y²y²³, we need to combine the like terms involving y.

First, look closely at the y terms. We have y²y²³. When multiplying terms with the same base, you add the exponents:

• y² has an exponent of 2.
• y²³ can be interpreted as y² raised to the power of 3, which equals y^{2 imes 3} = y^6.

So we can rewrite the expression as:

• 6x²(y² * y³) = 6x²y^{2+6} = 6x²y^8

Thus, the simplified expression is:

6x²y^8

This result shows how to combine terms efficiently while simplifying the expression.