Question
2. Calculate: \( 2^{\wedge} 3+5^{\wedge} 2-8 \) a. 33 b. 17 c. 25 d. 29
Ask by Hart Hilton. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The answer is 25.
Solution
To solve the expression \( 2^{\wedge} 3 + 5^{\wedge} 2 - 8 \), we'll interpret the caret (^) as the exponentiation operator.
1. **Calculate \( 2^{\wedge} 3 \):**
\[
2^3 = 2 \times 2 \times 2 = 8
\]
2. **Calculate \( 5^{\wedge} 2 \):**
\[
5^2 = 5 \times 5 = 25
\]
3. **Substitute the values back into the expression:**
\[
8 + 25 - 8 = 25
\]
So, the correct answer is:
**c. 25**
Reviewed and approved by the UpStudy tutoring team
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Extra Insights
Let's break it down step by step! First, we compute \( 2^{\wedge} 3 \), which means \( 2^3 = 8 \). Next, we calculate \( 5^{\wedge} 2 \), or \( 5^2 = 25 \). Now, adding these results together gives us \( 8 + 25 = 33 \). Finally, we subtract 8 from 33 to get \( 33 - 8 = 25 \). So the answer is \( c. 25 \)!