It looks like you have provided an equation along with a list of responses, and you may be seeking to solve the equation. Let's start with the equation you've given:
\[ 2x^{1/3} + 6 = 18 \]
To solve for \( x \), follow these steps:
- Subtract 6 from both sides of the equation:
\[ 2x^{1/3} = 18 - 6 \] \[ 2x^{1/3} = 12 \]
- Divide both sides by 2:
\[ x^{1/3} = \frac{12}{2} \] \[ x^{1/3} = 6 \]
- Now, cube both sides to solve for \( x \):
\[ x = 6^3 \] \[ x = 216 \]
Thus, the solution to the equation is:
\[ \boxed{216} \]
From your list of responses, "216" is the correct answer.