The expression {[(30-60) ÷ (-30)]2 - 15}÷ (-7) evaluates step by step following the order of operations. The final result after simplification is 2.
Step-by-step explanation:
The expression provided is {[(30-60) ÷ (-30)]2 - 15}÷ (-7). We'll evaluate it by following the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Calculate inside the parentheses first: (30 - 60) = -30.
Divide by -30: (-30) ÷ (-30) = 1.
Take the result to the power of 2: 1^2 = 1.
Subtract 15: 1 - 15 = -14.
Place the result in brackets to keep it separate: {-14}.
Lastly, divide by -7: {-14} ÷ (-7) = 2.
The final result of the expression is 2.