Question
6. Which operation is performed in the second step of the problem below? \[ \frac{7^{2}-9}{3+2} \] A. subtraction B. multiplication C. division D. evaluate the exponent
Ask by King Williams. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
In the second step, subtraction is performed in the numerator.
Solution
To determine which operation is performed in the **second step** of evaluating the expression:
\[
\frac{7^{2} - 9}{3 + 2}
\]
Let's follow the **order of operations** (PEMDAS/BODMAS):
1. **Parentheses/Brackets**: Evaluate expressions inside parentheses.
2. **Exponents/Orders**: Calculate powers and roots.
3. **Multiplication and Division**: From left to right.
4. **Addition and Subtraction**: From left to right.
**Step-by-Step Evaluation:**
1. **First Step: Evaluate the Exponent**
\[
7^{2} = 49
\]
The expression becomes:
\[
\frac{49 - 9}{3 + 2}
\]
2. **Second Step: Perform the Subtraction in the Numerator**
\[
49 - 9 = 40
\]
Now, the expression is:
\[
\frac{40}{3 + 2}
\]
3. **Third Step: Perform the Addition in the Denominator**
\[
3 + 2 = 5
\]
The expression simplifies to:
\[
\frac{40}{5}
\]
4. **Final Step: Perform the Division**
\[
40 \div 5 = 8
\]
**Conclusion:**
The **second step** involves performing **subtraction** in the numerator.
**Answer:**
A. subtraction
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Mind Expander
In the expression \(\frac{7^{2}-9}{3+2}\), the second step involves evaluating \(7^2\), which equals 49. Thus, understanding that the exponent is evaluated first is crucial when following the order of operations, known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). So, in this scenario, the correct answer is D. evaluate the exponent. It's always helpful to remember that exponents must be calculated before any subtraction or addition happens within the expression.
