Notice that:
[tex]8=2^3.[/tex]
Now, applying cubic root to both sides of the equation we get:
[tex]\sqrt[3]{x^3}=\sqrt[3]{\frac{1}{8}}.[/tex]
Recall that:
[tex]\sqrt[3]{\frac{a}{b}}=\frac{\sqrt[3]{a}}{\sqrt[3]{b}}.[/tex]
Therefore:
[tex]\sqrt[3]{x^3}=\sqrt[3]{\frac{1}{8}}=\frac{1}{2}\text{.}[/tex]
Answer: First option.
