Questions: Simplify: 4^2-8[6(6+2)]

Simplify: 4^2-8[6(6+2)]
Transcript text: Question Simplify: $4^{2}-8[6(6+2)]$ Provide your answer below:
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Solution

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Solution Steps

To simplify the given expression, follow these steps:

  1. Simplify the expression inside the parentheses.
  2. Multiply the result by 6.
  3. Multiply the result by 8.
  4. Calculate \(4^2\).
  5. Subtract the result from step 3 from the result of step 4.
Step 1: Simplify the Expression Inside the Parentheses

First, simplify the expression inside the parentheses: \[ 6 + 2 = 8 \]

Step 2: Multiply the Result by 6

Next, multiply the result by 6: \[ 6 \times 8 = 48 \]

Step 3: Multiply the Result by 8

Then, multiply the result by 8: \[ 8 \times 48 = 384 \]

Step 4: Calculate \(4^2\)

Calculate \(4^2\): \[ 4^2 = 16 \]

Step 5: Subtract the Results

Finally, subtract the result from Step 3 from the result of Step 4: \[ 16 - 384 = -368 \]

Final Answer

\[ \boxed{-368} \]

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