Final answer:
To solve this expression, use the order of operations (PEMDAS) and perform the calculations step by step.
Step-by-step explanation:
To solve the given expression, 36.8÷[11.5-(2.5×3)]^2, I will follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
First, calculate the expression inside the parentheses: 2.5×3 = 7.5.
Then, subtract the result from 11.5: 11.5 - 7.5 = 4.
Next, square the result obtained: 4^2 = 16.
Finally, divide 36.8 by 16 to obtain the final answer: 36.8 ÷ 16 = 2.3.