Final answer:
The expression (16y) is equivalent to option D: I, II, and IV only, which means options I, II, and IV are equivalent to (16y).
Step-by-step explanation:
The expression (16y) is equivalent to option D: I, II, and IV only. Let's break down each option to see if they are equivalent to (16y):
- Option I: 16y^3 is not equivalent to (16y) because it has an additional exponent of 3.
- Option II: 81/y^3 is not equivalent to (16y) because it has a different numerator (81) and a negative exponent.
- Option III: gyå is not equivalent to (16y) because it has a different variable (g).
- Option IV: 16. ya is equivalent to (16y).
Therefore, the correct answer is D: I, II, and IV only, which means options I, II, and IV are equivalent to (16y).