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: \[ 1.2 a^{-6} \alpha^{-2} b^{-3} \quad \text{or} \quad \frac{1.2}{a^6 \alpha^2 b^3} \]