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

. What is the simplified denominator?(1 point)

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

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

1. Start by evaluating the exponent:
\[
(-3)^2 = 9
\]

2. Substitute this back into the expression:
\[
4 + (-6) \cdot 2 - 9
\]

3. Next, perform the multiplication:
\[
(-6) \cdot 2 = -12
\]

4. Substitute this back into the expression:
\[
4 - 12 - 9
\]

5. Now, perform the addition and subtraction from left to right:
\[
4 - 12 = -8
\]
\[
-8 - 9 = -17
\]

The entire expression simplifies to \( -17 \).

If you were looking for a "denominator," it seems that may have referred to a different part of a problem (perhaps involving a fraction). However, the simplified expression itself does not inherently have a denominator. If it were a fraction such as \( \frac{-17}{1} \) potentially, the denominator would simply be 1.

Thus, the simplified expression gives the final result of \(-17\), and if we consider it as a fraction, the denominator could be considered as \(1\). Please clarify if you meant something different with "denominator."