1. The problem is to simplify the expression $x^{\frac{1}{3}} - 4x$. 2. Recall that $x^{\frac{1}{3}}$ means the cube root of $x$, and $4x$ means $4$ times $x$. 3. Since these terms have different exponents, they cannot be combined directly. 4. The expression is already simplified as $x^{\frac{1}{3}} - 4x$. 5. If you want to factor, you can factor out $x^{\frac{1}{3}}$: $$x^{\frac{1}{3}} - 4x = x^{\frac{1}{3}} - 4x^{1} = x^{\frac{1}{3}}(1 - 4x^{\frac{2}{3}})$$ 6. This is the factored form, which might be useful depending on the context. Final answer: $$x^{\frac{1}{3}} - 4x = x^{\frac{1}{3}}(1 - 4x^{\frac{2}{3}})$$