Упростите выражение:

1. 2a⁻⁵b² ⋅ 3a⁻²b⁻⁵ = (2×3) × (a⁻⁵ × a⁻²) × (b² × b⁻⁵) = 6a⁻⁷b⁻³ = $$rac{6}{a^7b^3}$$.

2. $$(\frac{1}{2}mn^{-3})^{-2} = (\frac{1}{2})^{-2} \cdot m^{-2} \cdot (n^{-3})^{-2} = 2^2 \cdot m^{-2} \cdot n^{6} = 4 \cdot \frac{1}{m^2} \cdot n^6 = \frac{4n^6}{m^2}$$.

3. $$\frac{3,6a^2b}{0,9a^3b^{-3}} = \frac{3,6}{0,9} \cdot \frac{a^2}{a^3} \cdot \frac{b}{b^{-3}} = 4 \cdot a^{2-3} \cdot b^{1-(-3)} = 4 \cdot a^{-1} \cdot b^{4} = \frac{4b^4}{a}$$.

Ответ:

1. $$\frac{6}{a^7b^3}$$
2. $$\frac{4n^6}{m^2}$$
3. $$\frac{4b^4}{a}$$