Answer:
![8 + {2}^(2) - (4 + 6)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cynl9fwrtps4g72hfiqhzb2ryb7sx23nfu.png)
Explanation:
We want use the order of operations and the digits 2, 4, 6, and 8 to create an expression with a value 2.
The expression is:
![8 + {2}^(2) - (4 + 6)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/cynl9fwrtps4g72hfiqhzb2ryb7sx23nfu.png)
The order of operations is PEDMAS
Deal with parenthesis first,
![8 + {2}^(2) - 10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/fjpvm3vg0fq9y4k2lgqgim2n56ynfbleb9.png)
Next deal with exponent
![8 + 4 - 10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6hiieprhusghd4v24cjim7vgchhbzw64z8.png)
No Division and Multiplication so skip to Addition.
![12 - 10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/k27grbrs0xvke4vz2giqq65xg4zjtrj9qj.png)
Finally subtract to get:
![2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/diyc1hbb5kwto57k58eoixdf5gqi2y5w6l.png)