Consider the expression x+6/3^2−(2⋅3)+5

Question

. What is the simplified denominator?(1 point)

Answer 1

To simplify the given expression \( x + \frac{6}{3^2} - (2 \cdot 3) + 5 \), we first evaluate the denominator \( 3^2 \).

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

2. Thus, the expression can be rewritten as: \[ x + \frac{6}{9} - (2 \cdot 3) + 5 \]

3. Now calculate \( 2 \cdot 3 \): \[ 2 \cdot 3 = 6 \]

The entire expression becomes: \[ x + \frac{6}{9} - 6 + 5 \]

Now, simplify \( \frac{6}{9} \): \[ \frac{6}{9} = \frac{2}{3} \]

Hence, the expression now is: \[ x + \frac{2}{3} - 6 + 5 \]

The simplified denominator referred to in your question is \( 9 \) as \( 3^2 = 9 \).

Therefore, the simplified denominator is: \[ \boxed{9} \]