Let's analyze the equation given:
\[ \frac{x}{8} = \frac{3^{(x+4)}}{2} \]
To identify which part of this equation represents a product, let's break down the expressions on both sides of the equation.
On the left side, we have:
\[ \frac{x}{8} \]
This can also be interpreted as \(x \cdot \frac{1}{8}\), which does indeed contain a product (between \(x\) and \(\frac{1}{8}\)).
On the right side, we see:
\[ \frac{3^{(x+4)}}{2} \]
This can be expressed as \(3^{(x+4)} \cdot \frac{1}{2}\). The expression \(3^{(x+4)}\) itself does not represent a product, but when multiplied by \(\frac{1}{2}\), the overall, this side of the equation includes a product as well.
However, the term that stands out as clearly representing a product on either side is:
- On the left: \(x \cdot \frac{1}{8}\)
- On the right: \(3^{(x+4)} \cdot \frac{1}{2}\)
So, the expression that represents a product in this equation can be:
- \(x \cdot \frac{1}{8}\) from the left side, or
- \(3^{(x+4)} \cdot \frac{1}{2}\) from the right side.
In conclusion, both sides contain expressions where products are present, specifically:
- \( \frac{x}{8} \) as \(x \cdot \frac{1}{8}\)
- \( \frac{3^{(x+4)}}{2} \) as \(3^{(x+4)} \cdot \frac{1}{2}\)