In this middle school mathematics question, using the order of operations (PEMDAS), we calculate the exponents, perform the division and multiplication, and add the result to the negative of negative 3. The final answer is 5.5.
To solve this problem, you must follow the order of operations, sometimes remembered by the acronym PEMDAS - Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
First, we calculate the exponent, which means we find 2 to the third power (which equals 8) and 4 to the second power (which equals 16).
Then, we perform the division: 8 (which is 23) divided by 16 (which is 42) and get 0.5.
After this, we do the multiplication, where 0.5 is multiplied by 5 equals 2.5. And finally, we add the negative of negative 3(-(-3)), which equals 3. So, the result of the whole expression is 2.5 + 3 = 5.5.
Learn more about Order of Operations