1. **Problem:** Find the value of $15 \div (125)^{1/3}$. 2. **Formula and rules:** The cube root of a number $a$ is written as $a^{1/3}$. We simplify the cube root first, then perform the division. 3. **Step 1:** Calculate the cube root of 125. $$125 = 5^3 \implies (125)^{1/3} = 5$$ 4. **Step 2:** Divide 15 by 5. $$15 \div 5 = \cancel{15}^3 \div \cancel{5}^1 = 3$$ 5. **Answer:** The value of $15 \div (125)^{1/3}$ is $3$.