0.3. Өрнекті ықшамдаңдар: 1) −0,4x²y·(−10xy²); 2) −0,2a³b⁴·5a²b³; 3) (0,25x⁻²y⁻¹)⁻³; 4) ((x⁻³a⁴)/16)⁻²·(4/(x⁻²a³))⁻³; 5) ab(−5ab²)·(4a²b); 6) m²n·(−mn)·(−mn²).

1. \((-0.4x^2y)(-10xy^2)=4x^{2+1}y^{1+2}=4x^3y^3\).
2. \((-0.2a^3b^4)(5a^2b^3)=-a^{3+2}b^{4+3}=-a^5b^7\).
3. \((0.25x^{-2}y^{-1})^{-3}=\left(\dfrac14\right)^{-3}x^6y^3=64x^6y^3\).
4. \(\left(\dfrac{x^{-3}a^4}{16}\right)^{-2}=\dfrac{x^6a^{-8}}{4^{-4}}=256x^6a^{-8}\), ал \(\left(\dfrac4{x^{-2}a^3}\right)^{-3}=\dfrac{4^{-3}}{x^6a^{-9}}\). Сондықтан өрнек \(=4a\).
5. \(ab(-5ab^2)(4a^2b)=-20a^{1+1+2}b^{1+2+1}=-20a^4b^4\).
6. \(m^2n(-mn)(-mn^2)=m^{2+1+1}n^{1+1+2}=m^4n^4\).

Ответ: 1) \(4x^3y^3\); 2) \(-a^5b^7\); 3) \(64x^6y^3\); 4) \(4a\); 5) \(-20a^4b^4\); 6) \(m^4n^4\).