Final answer:
To evaluate the expression 33 + 5∙4 - (8 - 5∙2)2, follow the order of operations: calculate the multiplication and subtraction inside the parentheses, multiply, calculate the exponent, and add the numbers. The value of the expression is 49.
Step-by-step explanation:
To evaluate the expression 33 + 5•4 - (8 - 5•2)2, follow the order of operations:
- Calculate the multiplication and subtraction inside the parentheses: (8 - 5•2) = (8 - 10) = -2.
- Multiply 5•4 = 20.
- Calculate the exponent: (-2)2 = 4.
- Add the numbers: 33 + 20 - 4 = 49.
Therefore, the value of the expression is 49.