1. **State the problem:** We are given a cube with volume 350 cm³ and need to find the edge length expressed as a radical and as a power. 2. **Recall the formula:** The volume $V$ of a cube with edge length $s$ is given by $$V = s^3$$ 3. **Set up the equation:** Given $V = 350$, we have $$s^3 = 350$$ 4. **Solve for $s$:** To find $s$, take the cube root of both sides: $$s = \sqrt[3]{350}$$ 5. **Express as a power:** The cube root can also be written as a fractional exponent: $$s = 350^{\frac{1}{3}}$$ 6. **Summary:** The edge length of the cube is - As a radical: $\sqrt[3]{350}$ - As a power: $350^{\frac{1}{3}}$ This means the edge length is the cube root of 350, which is the number that when cubed gives 350.