Question

select the correct answer.
simplify:
$6 \div 3 + 3^2 \cdot 4 - 2$
\\(\bigcirc\\) a. \\(36\\)
\\(\bigcirc\\) b. \\(98\\)
\\(\bigcirc\\) c. \\(22\\)
\\(\bigcirc\\) d. \\(42\\)

Explanation:

Step1: Follow the order of operations (PEMDAS/BODMAS). First, handle exponents.

$3^2 = 9$

Step2: Then, handle multiplication and division from left to right.

$6 \div 3 = 2$ and $9 \cdot 4 = 36$

Step3: Now, handle addition and subtraction from left to right.

$2 + 36 = 38$ and $38 - 2 = 36$ Wait, that's not matching. Wait, maybe I misread the operation. Wait, the original expression is $6 \div 3 + 3^2 \cdot 4 - 2$. Let's redo:

Step1: Exponents: $3^2 = 9$

Step2: Division: $6 \div 3 = 2$

Step3: Multiplication: $9 \times 4 = 36$

Step4: Addition: $2 + 36 = 38$

Step5: Subtraction: $38 - 2 = 36$? But option A is 36. Wait, maybe the dot is a multiplication? Wait, maybe I made a mistake. Wait, let's check again.

Wait, $6 \div 3 = 2$, $3^2 = 9$, $9 \times 4 = 36$, then $2 + 36 = 38$, $38 - 2 = 36$. So the answer is A. 36.

Answer:

A. 36