999. Упростите выражение: a) 1,5ab-3.6a-2b; 3 4 б) m-2n4.8m³n 2; в) 0,6c2d4c2 1 3 г) 3,2xyxy 1 д) 2 e) 3156-18.0.60-120,

999. Упростите выражение:

a) 1,5ab^-3 ⋅ 6a^-2b = 1,5 ⋅ 6 ⋅ a^1+(-2) ⋅ b^-3+1 = 9a^-1b^-2 = \(\frac{9}{ab^2}\)

б) \(\frac{3}{4}\)m^-2n⁴ ⋅ 8m³n^-2 = \(\frac{3}{4}\) ⋅ 8 ⋅ m^-2+3 ⋅ n^4+(-2) = 6m¹n² = 6mn²

в) 0,6c²d⁴ ⋅ \(\frac{1}{3}\)c^-2d^-4 = 0,6 ⋅ \(\frac{1}{3}\) ⋅ c^2+(-2) ⋅ d^4+(-4) = 0,2c⁰d⁰ = 0,2 ⋅ 1 ⋅ 1 = 0,2

г) 3,2x^-1y^-5 ⋅ \(\frac{5}{8}\)xy = 3,2 ⋅ \(\frac{5}{8}\) ⋅ x^-1+1 ⋅ y^-5+1 = 2x⁰y^-4 = 2 ⋅ 1 ⋅ y^-4 = \(\frac{2}{y^4}\)

д) \(\frac{1}{2}\)p^-1q^-3 ⋅ \(\frac{1}{6}\)p²q³ = \(\frac{1}{2}\) ⋅ \(\frac{1}{6}\) ⋅ p^-1+2 ⋅ q^-3+3 = \(\frac{1}{12}\)p¹q⁰ = \(\frac{1}{12}\)p ⋅ 1 = \(\frac{p}{12}\)

e) 3\(\frac{1}{3}\)a⁵b^-18 ⋅ 0,6a^-1b²⁰ = \(\frac{10}{3}\) ⋅ 0,6 ⋅ a^5+(-1) ⋅ b^-18+20 = 2a⁴b²