Final answer:
The first expression evaluates to approximately 15.286, and the second expression evaluates to 3.
Based on this, we can conclude that 8+3^2−2⋅6/ 7−1⋅2 is greater than (3/4+1/8) / 1/8- 2^2.
Step-by-step explanation:
To compare the expressions 8+3^2−2⋅6/ 7−1⋅2 and (3/4+1/8) / 1/8- 2^2, we need to simplify both expressions and then compare the results.
- Expression 8+3^2−2⋅6/ 7−1⋅2:
- First, calculate the exponent 3^2 which is equal to 9.
- Next, multiply 2 and 6 to get 12.
- Then, divide 12 by 7 to get approximately 1.714.
- Finally, add 8 and 9, and subtract 1.714 to get approximately 15.286.
- Expression (3/4+1/8) / 1/8- 2^2:
- First, simplify the fractions: 3/4 + 1/8 = 6/8 + 1/8 = 7/8.
- Next, divide 7/8 by 1/8 to get 7.
- Finally, subtract 2^2 which is equal to 4 from 7 to get 3.
Therefore, the first expression evaluates to approximately 15.286, and the second expression evaluates to 3. Based on this, we can conclude that 15.286 is greater than 3.