Answer: -7
Step-by-step explanation:
1. First, simplify the expression inside the parentheses: 1 + 3 = 4.
2. Next, replace the simplified expression back into the original expression: 8 ÷ 2(4) - 2³.
3. Perform the multiplication within the parentheses: 2(4) = 8.
4. Replace the result back into the expression: 8 ÷ 8 - 2³.
5. Now, tackle the exponentiation operation: 2³ = 2 x 2 x 2 = 8.
6. Substitute the result back into the expression: 8 ÷ 8 - 8.
7. Proceed with the division operation: 8 ÷ 8 = 1.
8. Replace the result into the expression: 1 - 8.
9. Finally, perform the subtraction operation: 1 - 8 = -7.
Therefore, the step-by-step answer to the expression 8÷2(1+3)-2³ is -7.