2/3аб2(-0,6а3б2)

To simplify the expression \( \frac{2}{3}ab^2(-0.6a^3b^2) \), follow these steps:

1. Multiply the coefficients:

   \[ \frac{2}{3} \times (-0.6) = -\frac{2 \times 0.6}{3} = -\frac{1.2}{3} = -0.4 \]

2. Combine the variables:

   When multiplying \( ab^2 \) and \( a^3b^2 \), you add the exponents of the same bases:

   • For \( a \): \( a^{1} \times a^{3} = a^{1+3} = a^4 \)
   • For \( b \): \( b^{2} \times b^{2} = b^{2+2} = b^{4} \)

3. Combine everything together:

   Putting it all together, you get:

   \[ -0.4a^4b^4 \]

So, the simplified expression is:

\[ -0.4a^4b^4 \]