Answer:
![\displaystyle 9](https://img.qammunity.org/2022/formulas/mathematics/high-school/ad41lzzla3wm30xyyxp6e9q185z9ip6l03.png)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Explanation:
Step 1: Define
![\displaystyle 8 + (7 + 1)^2 / 4 \cdot ((1)/(2))^4](https://img.qammunity.org/2022/formulas/mathematics/high-school/i3yfw1olszinh31o9i9qphscrq9jkqgzdv.png)
Step 2: Evaluate
- (Parenthesis) Add:
![\displaystyle 8 + (8)^2 / 4 \cdot ((1)/(2))^4](https://img.qammunity.org/2022/formulas/mathematics/high-school/qky1dsmb3ukntuewtvvpb1jey333mumi7a.png)
- Exponents:
![\displaystyle 8 + 64 / 4 \cdot (1)/(16)](https://img.qammunity.org/2022/formulas/mathematics/high-school/6o8xw1z1480i3aabwxhic8mwzz9kfauiex.png)
- Divide:
![\displaystyle 8 + 16 \cdot (1)/(16)](https://img.qammunity.org/2022/formulas/mathematics/high-school/6xmzdnaltz2o7p9a5ton32t0abthq37ihe.png)
- Multiply:
![\displaystyle 8 + 1](https://img.qammunity.org/2022/formulas/mathematics/high-school/csbujxlr78gj3o8okr11hyigxi9rv2eo5i.png)
- Add:
![\displaystyle 9](https://img.qammunity.org/2022/formulas/mathematics/high-school/ad41lzzla3wm30xyyxp6e9q185z9ip6l03.png)