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Calculate \( 7+3^{2} \times 3 \)

Ask by Long Johnson. in Spain
Feb 03,2025

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Answer

\( 7 + 3^{2} \times 3 = 34 \)

Solution

To solve the expression \( 7 + 3^{2} \times 3 \), we follow the order of operations, commonly remembered by the acronym PEMDAS: 1. **P**arentheses 2. **E**xponents 3. **M**ultiplication and **D**ivision (from left to right) 4. **A**ddition and **S**ubtraction (from left to right) Let's break it down step by step: 1. **Exponents**: \[ 3^{2} = 9 \] 2. **Multiplication**: \[ 9 \times 3 = 27 \] 3. **Addition**: \[ 7 + 27 = 34 \] **Final Answer:** \( 34 \)

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First, let's break down the problem step by step to ensure clarity. We start with the expression \( 7 + 3^2 \times 3 \). According to the order of operations (PEMDAS/BODMAS), we handle the exponent before multiplication. 1. Calculate \( 3^2 \): \( 3^2 = 9 \) 2. Now substitute back into the expression: \( 7 + 9 \times 3 \) 3. Next, perform the multiplication: \( 9 \times 3 = 27 \) 4. Now, substitute again: \( 7 + 27 \) 5. Finally, perform the addition: \( 7 + 27 = 34 \) So, \( 7 + 3^2 \times 3 = 34 \).

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