Упростите выражение:
а) $1\frac{1}{6}cd * (-\frac{6}{7}c^3d^2)$;
б) $-1\frac{1}{4}a^2b^3c^7 * (-1\frac{1}{15}ab^7c^8)$;
в) $\frac{19}{23}mn^8p^9 * (-\frac{46}{57}m^{10}n^3p^2)$;
г) $-\frac{1}{14}xyz * (-2\frac{4}{5}x^2y^3z^6)$.
$1\frac{1}{6}cd * (-\frac{6}{7}c^3d^2) = (\frac{7}{6} * (-\frac{6}{7}))c^{1 + 3}d^{1 + 2} = -c^{4}d^{3}$
$-1\frac{1}{4}a^2b^3c^7 * (-1\frac{1}{15}ab^7c^8) = (-\frac{5}{4} * (-\frac{16}{15}))a^{2 + 1}b^{3 + 7}c^{7 + 8} = \frac{4}{3}a^{3}b^{10}c^{15} = 1\frac{1}{3}a^{3}b^{10}c^{15}$
$\frac{19}{23}mn^8p^9 * (-\frac{46}{57}m^{10}n^3p^2) = (\frac{19}{23} * (-\frac{46}{57}))m^{1 + 10}n^{8 + 3}p^{9 + 2} = -\frac{2}{3}m^{11}n^{11}p^{11}$
$-\frac{1}{14}xyz * (-2\frac{4}{5}x^2y^3z^6) = (-\frac{1}{14} * (-\frac{14}{5}))x^{1 + 2}y^{1 + 3}z^{1 + 6} = \frac{1}{5}x^{3}y^{4}z^{7}$
Пожауйста, оцените решение
