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Use the rule of order of operations to simplify each exp \( (2+4)^{2}= \)

Ask by Herrera Thornton. in the United States
Jan 23,2025

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Answer

\( (2 + 4)^2 = 36 \)

Solution

To simplify the expression \( (2 + 4)^2 \) using the order of operations, follow these steps: 1. **Parentheses First:** Start by evaluating the expression inside the parentheses. \[ 2 + 4 = 6 \] 2. **Exponents Next:** Now, raise the result to the power of 2. \[ 6^2 = 6 \times 6 = 36 \] **Final Answer:** \[ (2 + 4)^2 = 36 \]

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To simplify \( (2+4)^{2} \), first, we perform the operation inside the parentheses. So, \( 2+4 = 6 \). Then we square that result: \( 6^{2} = 36 \). Therefore, the answer is \( 36 \). Now, let me tell you a little secret: the order of operations is often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). It’s like the secret recipe for solving math problems correctly! In real life, this order of operations is crucial not just in math class but also in programming and engineering. For instance, in coding, if you forget to follow the proper order, it could lead to errors or unexpected outputs in your programs. So next time you crunch some numbers or write a code, remember that order matters!

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