To simplify the expression 18 - 2x3 + 6/2^2, we follow the order of operations (PEMDAS/BODMAS):
Step 1: First, we simplify the expression within parentheses or brackets. Since there are no parentheses or brackets, we move to the next step.
Step 2: Next, we evaluate exponents. Here, 2^2 means 2 raised to the power of 2, which is equal to 4.
18 - 2x3 + 6/4
Step 3: After evaluating exponents, we perform multiplication and division from left to right. First, we perform the multiplication operation 2x3, which equals 6.
18 - 6 + 6/4
Now, we perform the division operation 6/4, which equals 1.5.
18 - 6 + 1.5
Step 4: Finally, we perform addition and subtraction from left to right. 18 - 6 equals 12, and adding 1.5 gives us the final result.
12 + 1.5 = 13.5
Therefore, the simplified expression is 13.5.