1. **State the problem:** Find the value of the expression $$4 \cdot 2^3 + 3(3 - 1)$$. 2. **Recall the order of operations:** - Evaluate exponents first. - Then multiplication and division from left to right. - Finally addition and subtraction from left to right. 3. **Evaluate the exponent:** $$2^3 = 8$$ 4. **Substitute back into the expression:** $$4 \cdot 8 + 3(3 - 1)$$ 5. **Evaluate the parentheses:** $$3 - 1 = 2$$ 6. **Substitute again:** $$4 \cdot 8 + 3 \cdot 2$$ 7. **Perform the multiplications:** $$4 \cdot 8 = 32$$ $$3 \cdot 2 = 6$$ 8. **Add the results:** $$32 + 6 = 38$$ **Final answer:** $$38$$