Final answer:
The given expression is simplified by raising each term inside the parentheses to the power of three, resulting in -125w^6/v^3.
Step-by-step explanation:
The expression given is ((-5w²)/v)³. To simplify this expression without parentheses, you raise each term inside the parentheses to the power of three. Since you are raising a fraction to a power, you apply the power to both the numerator and the denominator separately. The result is (-5)³ times (w²)³ over v³. Calculating (-5)³ gives us -125, and (w²)³ gives us w⁶ because 2*3=6. Therefore, the simplified expression is -125w⁶/v³.