Answer: First option.
Explanation:
Given the following equation provided in the exercise:
![\sqrt[3]{x+8}=-4](https://img.qammunity.org/2020/formulas/mathematics/middle-school/96sf9lhhcggidfl3kpnv6fv3c9imp28avr.png)
You can follow the steps indicated below in order to find the solution of this equation:
1. Cubing both sides of the equation, you get:
![(\sqrt[3]{x+8})^3=(-4)^3\\\\x+8=-64](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4mb12cz4b5zhdk0q09m9hsyins3ihzzj0w.png)
2. Finally you must subtract 8 from both sides of the equation:

You can notice that this solution matches with the first option.