Question

Consider the following expression: 4+(−6)⋅2/−(−3)2 What is the simplified denominator?

Answer 1

To simplify the expression and find the simplified denominator, we first need to understand the parts of the expression:

The expression given is:

\[
4 + (-6) \cdot 2 / -(-3)^2
\]

We can break this down, particularly focusing on the denominator.

1. First, calculate \((-3)^2\):
\[
(-3)^2 = 9
\]

2. Now, evaluate the expression for the denominator:
\[
-(-3)^2 \text{ becomes } -9
\]

So, the full expression becomes:

\[
4 + (-6) \cdot 2 / -9
\]

The denominator in this case is \(-9\). Therefore, the simplified denominator is:

\[
\boxed{-9}
\]