Use the grouping symbols to interpret the following equation: x/8=3^(x+4)/2 . Which expression in the equation represents a product?

\( \frac{x}{8} \): This is a fraction, not a product.
\( \frac{x}{8} \): This is repeated, still a fraction.
\( 3(x+4) \): This expression contains a multiplication of 3 and the sum \( (x+4) \). Thus, it represents a product.
\( \frac{3(x+4)}{2} \): This is a fraction, but it also involves multiplication of 3 and \( (x+4) \) in the numerator, which means it represents a product as well.

Question

2

x/8

3 (x+4)

3(x+4)/2

GPT-4o mini · Answer

In the equation $ \frac{x}{8} = \frac{3^{(x+4)}}{2} $, we can analyze each of the provided expressions to determine which one represents a product. 1. **$ \frac{x}{8} $**: This is a fraction, not a product. 2. **$ \frac{x}{8} $**: This is repeated, still a fraction. 3. **$ 3(x+4) $**: This expression contains a multiplication of 3 and the sum $ (x+4) $. Thus, it represents a product. 4. **$ \frac{3(x+4)}{2} $**: This is a fraction, but it also involves multiplication of 3 and $ (x+4) $ in the numerator, which means it represents a product as well. Among these expressions, **$ 3(x+4) $** explicitly highlights the multiplication of 3 and $ (x+4) $. So the expression that primarily represents a product is **$ 3(x+4) $**.