Answer: First option.
Step-by-step explanation:
Given the following equation provided in the exercise:
[tex]\sqrt[3]{x+8}=-4[/tex]
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:
[tex](\sqrt[3]{x+8})^3=(-4)^3\\\\x+8=-64[/tex]
2. Finally you must subtract 8 from both sides of the equation:
[tex]x+8-8=-64-8\\\\x=-72[/tex]
You can notice that this solution matches with the first option.
