Question: User: 1/x^3 = 1
1. **State the problem:** Solve the equation $$\frac{1}{x^3} = 1$$ for $$x$$.
2. **Recall the rule:** If $$\frac{1}{x^3} = 1$$, then multiplying both sides by $$x^3$$ (assuming $$x \neq 0$$) gives:
$$\cancel{x^3} \cdot \frac{1}{\cancel{x^3}} = 1 \cdot x^3 \implies 1 = x^3$$
3. **Solve for $$x$$:**
We need to find $$x$$ such that $$x^3 = 1$$.
4. **Cube root both sides:**
$$x = \sqrt[3]{1}$$
5. **Evaluate:**
Since $$1$$ is the cube of $$1$$, the solution is:
$$x = 1$$
**Final answer:** $$x = 1$$