Questions: Simplify: ((3-3^2)^2)/3

Simplify: ((3-3^2)^2)/3
Transcript text: Simplify: $\frac{\left(3-3^{2}\right)^{2}}{3}$
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Solution

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Solution Steps

To simplify the given expression \(\frac{(3 - 3^2)^2}{3}\), we need to follow the order of operations (PEMDAS/BODMAS). First, evaluate the exponent \(3^2\), then perform the subtraction \(3 - 9\), square the result, and finally divide by 3.

Step 1: Calculate the Exponent

First, we evaluate the exponent in the expression: \[ 3^2 = 9 \]

Step 2: Perform the Subtraction

Next, we perform the subtraction: \[ 3 - 9 = -6 \]

Step 3: Square the Result

Now, we square the result of the subtraction: \[ (-6)^2 = 36 \]

Step 4: Divide by 3

Finally, we divide the squared result by 3: \[ \frac{36}{3} = 12.0 \]

Final Answer

The final result is \(\boxed{12.0}\).

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