Simplify Cube Root 9F7D10

1. **State the problem:** Simplify the cube root expression $$\sqrt[3]{64x^3}$$.\n\n2. **Recall the formula:** The cube root of a product is the product of the cube roots: $$\sqrt[3]{a \cdot b} = \sqrt[3]{a} \cdot \sqrt[3]{b}$$.\n\n3. **Apply the formula:** $$\sqrt[3]{64x^3} = \sqrt[3]{64} \cdot \sqrt[3]{x^3}$$.\n\n4. **Simplify each part:**\n- $$\sqrt[3]{64} = 4$$ because $$4^3 = 64$$.\n- $$\sqrt[3]{x^3} = x$$ because the cube root and cube cancel out.\n\n5. **Combine the results:** $$4 \cdot x = 4x$$.\n\n6. **Final answer:** $$4x$$.\n\nTherefore, the simplified form of $$\sqrt[3]{64x^3}$$ is $$4x$$.