Final answer:
To solve the expression, follow the order of operations, simplifying parentheses, exponents, multiplication/division, and addition/subtraction. The value of the expression is -0.8.
Step-by-step explanation:
To solve the expression, you need to follow the order of operations: parentheses, then exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.
Let's break down the expression step by step:
7 - [13 - {-2 + 6 × (6 ÷ 5)}]
- Simplify the division: 6 ÷ 5 = 1.2
- Multiply: -2 + 6 × 1.2 = -2 + 7.2 = 5.2
- Simplify the expression inside the inner parentheses: 13 - {5.2} = 7.8
- Simplify the expression inside the outer parentheses: 7 - 7.8 = -0.8
Therefore, the value of the expression is -0.8.