Questions: Scott simplified the expression below and got 3. Simplify the expression and determine Scott's mistake. (2 points - simplify and explain Scott's mistake.) 81-54 ÷ 3^2

Scott simplified the expression below and got 3. Simplify the expression and determine Scott's mistake. (2 points - simplify and explain Scott's mistake.) 81-54 ÷ 3^2
Transcript text: Scott simplified the expression below and got 3 . Simplify the expression and determine Scott's mistake. (2 points -simplify and explain Scott's mistake.) \[ 81-54 \div 3^{2} \]
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Solution

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Simplify the expression \(81 - 54 \div 3^{2}\) and determine Scott's mistake.

Step 1: Evaluate the exponent.

First, calculate \(3^{2}\):
\[ 3^{2} = 9 \]

Step 2: Perform the division.

Next, divide \(54\) by the result from Step 1:
\[ 54 \div 9 = 6 \]

Step 3: Perform the subtraction.

Finally, subtract the result from Step 2 from \(81\):
\[ 81 - 6 = 75 \]

The simplified expression evaluates to \(\boxed{75}\). Scott's mistake was likely not following the correct order of operations (PEMDAS/BODMAS), leading him to incorrectly simplify the expression to \(3\).

The simplified expression evaluates to \(\boxed{75}\). Scott's mistake was likely not following the correct order of operations (PEMDAS/BODMAS), leading him to incorrectly simplify the expression to \(3\).

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