1. **State the problem:** We need to find an expression for the function $$y = 6x^3 - \frac{4}{x^2}$$. 2. **Understand the components:** The function consists of two terms: a polynomial term $$6x^3$$ and a rational term $$- \frac{4}{x^2}$$. 3. **Rewrite the rational term:** We can express $$\frac{4}{x^2}$$ as $$4x^{-2}$$ to write the function entirely with powers of $$x$$. 4. **Final expression:** Thus, the function can be written as $$y = 6x^3 - 4x^{-2}$$ This is the simplified expression for $$y$$ in terms of $$x$$. This expression is valid for all $$x \neq 0$$ because division by zero is undefined.