3a–⁶ b²×0,4α-²b-⁵

To simplify the expression \(3a^{-6} b^2 \times 0.4\alpha^{-2}b^{-5}\), you can follow these steps:

1. Multiply the coefficients:

   • The coefficients are \(3\) and \(0.4\).
   • \(3 \times 0.4 = 1.2\).

2. Combine the variables:

   • For \(a^{-6}\), there are no other \(a\) terms, so it remains \(a^{-6}\).
   • For \(b^2\) and \(b^{-5}\), you add the exponents:
     • \(b^{2 - 5} = b^{-3}\).
   • For \(\alpha^{-2}\), it also remains as it is since there are no other \(\alpha\) terms.

3. Putting it all together:

   • Combine everything:
   • Therefore, the simplified expression is: \[ 1.2 a^{-6} \alpha^{-2} b^{-3} \]

4. Optional: If you need to express it without negative exponents: \[ \frac{1.2}{a^6 \alpha^2 b^3} \]

So, the final simplified form is: \[ 1.2 a^{-6} \alpha^{-2} b^{-3} \quad \text{or} \quad \frac{1.2}{a^6 \alpha^2 b^3} \]