Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 8 \)
Solution
Calculate the value by following steps:
- step0: Calculate:
\(26-3^{2}\times 2\)
- step1: Multiply the terms:
\(26-18\)
- step2: Subtract the numbers:
\(8\)
To simplify the expression \( 26 - 3^{2} \cdot 2 \), we follow these steps:
1. Calculate \( 3^{2} \):
\[
3^{2} = 9
\]
2. Multiply the result by \( 2 \):
\[
9 \cdot 2 = 18
\]
3. Subtract this from \( 26 \):
\[
26 - 18 = 8
\]
Thus, the simplified result is \( 8 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To simplify the expression \( 26 - 3^2 \cdot 2 \), we first calculate \( 3^2 \), which is \( 9 \). Substituting that back into the expression, we have: \[ 26 - 9 \cdot 2 \] Next, we calculate \( 9 \cdot 2 \), which equals \( 18 \). Now we can substitute that back in: \[ 26 - 18 \] Finally, subtract \( 18 \) from \( 26 \): \[ 26 - 18 = 8 \] Therefore, the simplified expression is \( 8 \).