Questions: Simplify the following: 9+8*(3^3-12-5)

Transcript text: Simplify the following: \[ 9+8 \times\left(3^{3}-12-5\right) \]

Solution

To simplify the given expression, follow the order of operations (PEMDAS/BODMAS):

Step 1: Evaluate the Exponentiation

First, we evaluate the exponentiation in the expression \(3^3\): \[ 3^3 = 27 \]

Step 2: Perform Operations Inside the Parentheses

Next, we substitute the result from Step 1 into the parentheses and perform the operations: \[ 27 - 12 - 5 = 10 \]

Step 3: Perform the Multiplication

Now, we multiply the result from Step 2 by 8: \[ 8 \times 10 = 80 \]

Step 4: Perform the Addition

Finally, we add 9 to the result from Step 3: \[ 9 + 80 = 89 \]

The simplified result of the expression \(9 + 8 \times (3^3 - 12 - 5)\) is \[ \boxed{89} \]

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