Answer
If both sides of the equation are cubed before the 2 is moved to the other equation, then the equation needs to be factored out.
Work Step by Step
We solve the equation using the rules of exponents and radicals. Note, if we wanted to check our solution, we could plug the value we get back into the original equation to see if it yields a true statement. Solving the equation, we find:
$$\sqrt[3]{x}=2 \\ \left(\sqrt[3]{x}\right)^3=2^3 \\ x=8$$
