Questions: 36.8 ÷ [11.5 - (2.5 × 3)]^2

36.8 ÷ [11.5 - (2.5 × 3)]^2
Transcript text: $36.8 \div[11.5-(2.5 \times 3)]^{2}$
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Solution

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To solve the given expression, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). First, evaluate the expression inside the parentheses, then perform the multiplication, followed by the subtraction. Next, square the result of the parentheses, and finally, divide 36.8 by this squared value.

Paso 1: Evaluar la expresión interna

Primero, calculamos la expresión dentro de los paréntesis: \[ 11.5 - (2.5 \times 3) = 11.5 - 7.5 = 4.0 \]

Paso 2: Elevar al cuadrado

Luego, elevamos el resultado de la expresión interna al cuadrado: \[ (4.0)^2 = 16.0 \]

Paso 3: Dividir

Finalmente, dividimos \(36.8\) por el valor cuadrado obtenido: \[ \frac{36.8}{16.0} = 2.3 \]

Respuesta Final

\(\boxed{2.3}\)

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