Question
Calculate \( 7+3^{2} \times 3 \)
Ask by Long Johnson. in Spain
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
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:** \( 34 \)
Reviewed and approved by the UpStudy tutoring team
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Mind Expander
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, \( 7 + 3^2 \times 3 = 34 \).