Упростите выражение 1) (7m^5n^2p) * (-4mn^4p^2) * (-1/4m^2n^3p^2) 2) (6 1/2x^3yz^2) * (2 2/13x^6yz^3) ^=степень

Упростим, учитывая свойства степеней a^n * a^m = a^ (n + m):

1. (7m^5n^2p) * (-4mn^4p^2) * (-1/4m^2n^3p^2) = 7m^8n^9p^5.

Сначала умножим вторые и третьи скобки для удобства:

1) (-4mn^4p^2) * (-1/4m^2n^3p^2) = - 4 * (-1/4) * m^ (1 + 2) * n^ (4 + 3) * p^ (2 + 2) = m^3n^7p^4;

2) (7m^5n^2p) * (m^3n^7p^4) = 7 * m^ (5 + 3) * n^ (2 + 7) * p^ (1 + 4) = 7m^8n^9p^5.

2) (6 1/2x^3yz^2) * (2 2/13x^6yz^3) = (13/2x^3yz^2) * (28/13x^6yz^3) = 13/2 * 28/13 * x^ (3 + 6) * y^ (1 + 1) * z^ (2 + 3) = 14x^9y^2z^5.