To solve this expression, we need to follow the rule for the order of operations (PEMDAS).
PEMDAS stands for parenthesis, exponents, multiplication/division, addition/subtraction.
To correctly evaluate the mathematical expression, we start by looking for (P) parenthesis and simplifying them as much as possible: 6 ÷ 3 + 9 · 4 − 2. Since there is no parenthesis, we move on to (E) Exponents.
After simplifying the 3^2, the expression becomes: 6 ÷ 3 + 9 · 4 − 2. With no more exponents in the expression, we move on to multiplication/division (M/D).
We see 2 examples of multiplication/division: 6 ÷ 3 and 9 · 4. We will evaluate them in order from left to right. First, 6 ÷ 3 becomes 2, and then 9 · 4 becomes 36. We are left with the expression
2 + 36 - 2.
Lastly, we evaluate addition/subtraction (A/S). This expression simplifies to 36, which cannot be simplified any further. Your answer is 36.