Let's use the rules of priority: first of all, parenthesis. The expression in parenthesis is 12-8, which evaluates to 4, so the expression becomes
[tex] 7+3^2+4 \div 2 \times 4 [/tex]
Next, exponents. The only exponent is [tex] 3^9 [/tex], which evaluates to 9. The expression becomes
[tex] 7+9+4 \div 2 \times 4 [/tex]
Now we're left with sum/subtractions and multiplications/divisions only. We must perform multiplications/divisions first, in the order in which they appear. So, first of all, we must divide 4 by 2, which evaluates to 2. Let's update the expression:
[tex] 7 + 9 + 2 \times 4 [/tex]
Now it's time for the multiplication: 2 times 4 is 8, so we have
[tex] 7 + 9 + 8 [/tex]
We're left with sums only. We can perform them in any order, since the sum is commutative. Let's sum the terms as they appear: first we put together 7 and 9 to get 16:
[tex] 16 + 8 [/tex]
And finally give the answer of 24
