Final answer:
Option D, which contains the terms 4g² and 9g², is the pair of like terms as they have the same variable g raised to the same power, making them like terms.
Step-by-step explanation:
The student has asked to identify which pair of terms is a pair of like terms. Like terms are terms that have exactly the same variable factors; only the coefficients can differ. In other words, like terms have the same variables raised to the same powers.
Looking at the options provided:
A. g²h and gh² are not like terms because the variables are raised to different powers.
B. 3g and 3h are not like terms because they have different variables.
C. g´ and h´ are not like terms because they have different variables.
D. 4g² and 9g² are like terms because they both have the variable g raised to the power of 2.
Therefore, the correct option in the final answer is D. 4g² and 9g².