Explain why 2x^3y and 2yz^2 are not like terms

Like terms are terms that have the same variables raised to the same powers. In this case, 2x^3y and 2yz^2 are not like terms because they have different variables raised to different powers.

The first term, 2x^3y, has x raised to the power of 3 and y raised to the power of 1. The second term, 2yz^2, has y raised to the power of 1 and z raised to the power of 2. Since the variables and their powers are different, these two terms cannot be combined or simplified.