Question

Solve: 8 x (2^4 - 3) + 8

Answer 1

The expression 8 x (2^4 - 3) + 8 simplifies to 112. This was determined by following the order of operations: first calculating the exponent, then subtracting, followed by multiplication, and finally adding.

Step-by-step explanation:

To solve the mathematical expression 8 x (2^4 - 3) + 8, we first focus on the operation inside the parentheses. The exponentiation has to be done before the subtraction, according to the order of operations (PEMDAS/BODMAS). So we calculate 2^4 which is 16. We then subtract 3 from 16, getting 13.

Next, we multiply the result by 8, thus 8 x 13, which equals 104. Finally, we add 8 to 104, resulting in the final answer of 112.

Here's the step-by-step solution:

1. Calculate the exponent: 2^4 = 16
2. Perform the subtraction within the parentheses: 16 - 3 = 13
3. Multiply by 8: 8 x 13 = 104
4. Add the final 8: 104 + 8 = 112

The answer to the expression is 112.