Which of the following expressions is equivalent to (2/3⋅g)⋅3/2 ? (1 point) Responses g+1 g plus 1 g−1 g minus 1 g g −g

Answer 1

To simplify the expression \((\frac{2}{3} \cdot g) \cdot \frac{3}{2}\):

1. Multiply the fractions: \[ \frac{2}{3} \cdot \frac{3}{2} = \frac{2 \cdot 3}{3 \cdot 2} = \frac{6}{6} = 1 \]

2. Now, multiply by \(g\): \[ 1 \cdot g = g \]

So, the expression \((\frac{2}{3} \cdot g) \cdot \frac{3}{2}\) simplifies to \(g\).

Thus, the equivalent expression is \(g\).