Question: Simplify the expression below using order of operations.
$$(3^3 + 5) \times 4 - 8^1$$
1. **State the problem:** Simplify the expression $$(3^3 + 5) \times 4 - 8^1$$ using the order of operations (PEMDAS).
2. **Recall the order of operations:** Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right).
3. **Evaluate exponents first:**
$$3^3 = 27$$
$$8^1 = 8$$
4. **Substitute these values back into the expression:**
$$(27 + 5) \times 4 - 8$$
5. **Evaluate inside the parentheses:**
$$27 + 5 = 32$$
6. **Multiply:**
$$32 \times 4 = 128$$
7. **Subtract:**
$$128 - 8 = 120$$
**Final answer:** $120$