10. Simplify the expression: \(\frac{4}{3}d \cdot 1.5e\)

To simplify the expression \(\frac{4}{3}d \cdot 1.5e\), we multiply the numerical coefficients and the variables separately.

First, convert the decimal to a fraction: \(1.5 = \frac{3}{2}\).

Now, multiply the coefficients: \(\frac{4}{3} \cdot \frac{3}{2} = \frac{4 \cdot 3}{3 \cdot 2} = \frac{12}{6} = 2\).

Next, multiply the variables: \(d \cdot e = de\).

Combine the results: \(2de\).

Ответ: \(2de\)