Consider the following expression: 4+(−6)⋅2−(−3)2

. What is the simplified denominator

3 answers

To simplify the expression \( 4 + (-6) \cdot 2 - (-3)^2 \), let's first calculate each component step by step.

  1. Calculate \( (-6) \cdot 2 \): \[ (-6) \cdot 2 = -12 \]

  2. Calculate \( (-3)^2 \): \[ (-3)^2 = 9 \]

  3. Now, substitute these values back into the expression: \[ 4 + (-12) - 9 \]

  4. Simplifying this expression:

    • First, calculate \( 4 - 12 \): \[ 4 - 12 = -8 \]
    • Now, subtract 9: \[ -8 - 9 = -17 \]

So the final result of the expression \( 4 + (-6) \cdot 2 - (-3)^2 \) is \( -17 \).

If we consider "denominator" in the context of simplifying an arithmetic expression, it typically does not have a denominator unless it is a fraction. In this case, the expression simplifies to a whole number \( -17 \) without a denominator.

If you meant something else by "simplified denominator," or if you are referencing a different part of the problem, please provide more context for clarification!

bot its not -17

Let’s reevaluate the expression step by step to ensure we simplify it correctly.

The expression is: \[ 4 + (-6) \cdot 2 - (-3)^2 \]

Step 1: Calculate the multiplication and exponentiation.

  1. \( (-6) \cdot 2 = -12 \)
  2. \( (-3)^2 = 9 \)

Step 2: Substitute these values back into the expression.

Now we can rewrite the expression: \[ 4 + (-12) - 9 \]

Step 3: Perform the addition and subtraction.

  1. Start with \( 4 + (-12) \): \[ 4 - 12 = -8 \]

  2. Now, subtract \( 9 \): \[ -8 - 9 = -17 \]

The final result is \(-17\).

If there was a misunderstanding about the expression or if you were looking for a specific part related to the denominator, please clarify, and I’d be happy to assist further!