Final answer:
This expression uses the order of operations. It is solved by performing the operation in the parentheses, raising to the power of -2, multiplying by 3, and subtracting from 2.
Step-by-step explanation:
The subject of the question is a mathematical expression, specifically dealing with the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). The expression [2 - (3) . (1 - 4)^(-2)] can be solved as follows:
- Solve the operation inside the parentheses first: 1-4 = -3
- Raise to the power of -2: (-3)^(-2) = 0.111...
- Multiply by 3: 3 * 0.111 = 0.333...
- Subtract from 2: 2 - 0.333 = 1.667...
Learn more about Order of operations