\( (-a \times b)(e \times-g) \) Which of the following expressions is an example of the commutative property? A. \( (-a+e)+(b-g) \) B. \( (-a-g) \times(b \times e) \) C. \( (-a \times e)(b \times-g) \) D. \( (-a+b)(e-g) \)

1. Consider the original expression: \[ (-a \times b)(e \times -g) \] 2. The commutative property of multiplication states that for any two numbers \( x \) and \( y \): \[ x \times y = y \times x \] 3. In the original expression, focus on the factors \( b \) and \( e \) in the two groups: \[ (-a \times b)(e \times -g) \] Using the commutative property, we can swap \( b \) and \( e \). This gives: \[ (-a \times e)(b \times -g) \] 4. This new expression: \[ (-a \times e)(b \times -g) \] is precisely the transformation described by the commutative property. 5. Comparing with the choices provided, option C: \[ (-a \times e)(b \times -g) \] matches the expression we obtained using the commutative property. Thus, the answer is C.