Question
Simplify \( \quad 7-\left(5^{3}+1\right) \div 2 \)
Ask by Owen Donnelly. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
-56
\]
Solution
To simplify the expression:
\[
7 - \left(5^{3} + 1\right) \div 2
\]
**Step 1: Calculate the exponent**
\[
5^{3} = 5 \times 5 \times 5 = 125
\]
**Step 2: Add 1 to the result**
\[
125 + 1 = 126
\]
**Step 3: Divide by 2**
\[
126 \div 2 = 63
\]
**Step 4: Subtract from 7**
\[
7 - 63 = -56
\]
**Final Answer:**
\[
-56
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To simplify \( 7 - \left( 5^3 + 1 \right) \div 2 \), we start by calculating \( 5^3 \): \[ 5^3 = 125 \] Next, we add 1 to this result: \[ 125 + 1 = 126 \] Now we divide by 2: \[ 126 \div 2 = 63 \] Finally, we subtract this from 7: \[ 7 - 63 = -56 \] Thus, the simplified result is \[ \boxed{-56} \]
