Final answer:
To simplify the expression (-2y³/²)³ using positive exponents only, cube each term inside the parentheses and rewrite the expression with positive exponents. The correct simplified expression is -8y⁹/⁶.
Step-by-step explanation:
To simplify the expression (-2y³/²)³ using positive exponents only, we need to cube each term inside the parentheses and then rewrite the expression with positive exponents.
(-2y³/²)³ = (-2³)(y³/²)³ = (-8)(y³)³/(²)³ = -8y⁹/⁶ = -8y⁹/⁶
So, the correct simplified expression is -8y⁹/⁶.