№4. Упростите выражение и подчеркните коэффициент: a)12a·8b·(-1,5c); б)-3,8m·(-1,6a)·(-3,5n), в)1147x⋅(-29y)⋅213y; г)-29,4⋅(-27k)⋅(-114k)⋅37p.

Ответ: a) -144abc; б) -21,28amn; в) -3.61x*y^2; г) 3.3p*k^2

а) 12a ⋅ 8b ⋅ (-1,5c) = 12 ⋅ 8 ⋅ (-1,5) ⋅ a ⋅ b ⋅ c = -144abc

Коэффициент: -144

б) -3,8m ⋅ (-1,6a) ⋅ (-3,5n) = -3,8 ⋅ (-1,6) ⋅ (-3,5) ⋅ a ⋅ m ⋅ n = -21,28amn

Коэффициент: -21,28

в) 11\(\frac{4}{7}\)x ⋅ (−\(\frac{2}{9}\)y) ⋅ 2\(\frac{1}{3}\)y = \(\frac{81}{7}\)x ⋅ (−\(\frac{2}{9}\)y) ⋅ \(\frac{7}{3}\)y = \(\frac{81}{7}\) ⋅ (−\(\frac{2}{9}\)) ⋅ \(\frac{7}{3}\) ⋅ x ⋅ y ⋅ y = -6xy²

Коэффициент: -6

г) -29,4 ⋅ (−\(\frac{2}{7}\)k) ⋅ (−1\(\frac{1}{4}\)k) ⋅ \(\frac{3}{7}\)p = -29,4 ⋅ (−\(\frac{2}{7}\)k) ⋅ (−\(\frac{5}{4}\)k) ⋅ \(\frac{3}{7}\)p = −\(\frac{294}{10}\) ⋅ (−\(\frac{2}{7}\)k) ⋅ (−\(\frac{5}{4}\)k) ⋅ \(\frac{3}{7}\)p = \(\frac{126}{49}\)pk²

Коэффициент: \(\frac{126}{49}\)

Ответ: a) -144abc; б) -21,28amn; в) -3.61x*y^2; г) 3.3p*k^2