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

Question

4
+
(
−
6
)
⋅
2
−
(
−
3
)
2
. What is the simplified denominator?(1 point)

Answer 1

To simplify the expression \( 4 + (-6) \cdot 2 - (-3)^2 \), we'll follow the order of operations (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

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

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

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

4. Now, simplify from left to right: \[ 4 - 12 = -8 \] \[ -8 - 9 = -17 \]

So, the simplified expression is \(-17\). If you are referring to the denominator of the expression, there is no explicit denominator since this is not a fraction. Thus, the expression itself evaluates to \(-17\). If you are looking for a specific context about a fraction, please clarify.

However, if taken as just a whole number, the "denominator" could be considered as 1 since every integer can be expressed as a fraction over 1. Therefore, one could say the denominator is \(1\).