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Evaluate the expressions. $$ -(2 \cdot 3)^{2} $$

Short Answer

Expert verified
The evaluated expression, following the order of operations, is \( -(2 \cdot 3)^{2} = -36 \).

Step by step solution

01

Evaluate the expression within the parentheses

First, we will evaluate the expression inside the parentheses. In this case, the expression is: \[ 2 \cdot 3 \] which equals: \[ 2 \cdot 3 = 6 \] Now, the expression becomes: \[ -(6)^{2} \]
02

Apply the exponent

Now, we will apply the exponent to the result in the parentheses: \[ (6)^{2} \] which equals: \[ (6)^{2} = 36 \] Now, the expression becomes: \[ -36 \]
03

Final answer

The final answer is -36. Therefore, the evaluated expression is: \[ -(2 \cdot 3)^{2} = -36 \]

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