Упростите выражения: в) \(\frac{8c^4}{22d^3}\cdot\frac{11d^2}{16c^2}:\frac{c}{d^2}\); г) \(\frac{8x^3}{7y^3}:\frac{x^2}{49y^2}\cdot\frac{7y^2}{x^2}\); д) \(\frac{64xy^3z}{a^5c}:(8x^2yz)\cdot\frac{a^3c}{x}\); е) \(11ab^3c:\frac{121a^2b^2c}{x^3y^2}\cdot\frac{a^2}{8}\cdot\frac{1}{xy^4}\); ж) \(-16a^2b^3\cdot\frac{2z}{8a^2b}:\frac{6z^2}{-a}\); з) \(\frac{10a^2b^3}{21c^7}:\frac{22a^4b}{39d^3}\cdot\frac{7ac^6}{56d^2}:\frac{138d^2}{11a^2c}\).

Деление на дробь заменяем умножением на обратную дробь. Умножение и деление выполняем слева направо.

в) \(\frac{8c^4}{22d^3}\cdot\frac{11d^2}{16c^2}:\frac{c}{d^2}=\frac{8\cdot11}{22\cdot16}\cdot\frac{c^4d^2}{d^3c^2}\cdot\frac{d^2}{c}=\frac{cd}{4}.\)

г) \(\frac{8x^3}{7y^3}:\frac{x^2}{49y^2}\cdot\frac{7y^2}{x^2}=\frac{8x^3}{7y^3}\cdot\frac{49y^2}{x^2}\cdot\frac{7y^2}{x^2}=\frac{392y}{x}.\)

д) \(\frac{64xy^3z}{a^5c}:(8x^2yz)\cdot\frac{a^3c}{x}=\frac{64xy^3z}{a^5c}\cdot\frac{1}{8x^2yz}\cdot\frac{a^3c}{x}=\frac{8y^2}{a^2x^2}.\)

е) \(11ab^3c:\frac{121a^2b^2c}{x^3y^2}\cdot\frac{a^2}{8}\cdot\frac{1}{xy^4}=11ab^3c\cdot\frac{x^3y^2}{121a^2b^2c}\cdot\frac{a^2}{8}\cdot\frac{1}{xy^4}=\frac{abx^2}{88y^2}.\)

ж) \(-16a^2b^3\cdot\frac{2z}{8a^2b}:\frac{6z^2}{-a}=-4b^2z\cdot\frac{-a}{6z^2}=\frac{2ab^2}{3z}.\)

з) \(\frac{10a^2b^3}{21c^7}:\frac{22a^4b}{39d^3}\cdot\frac{7ac^6}{56d^2}:\frac{138d^2}{11a^2c}=\frac{10a^2b^3}{21c^7}\cdot\frac{39d^3}{22a^4b}\cdot\frac{7ac^6}{56d^2}\cdot\frac{11a^2c}{138d^2}=\frac{65ab^2}{7728d}.\)

Ответ: в) \(\frac{cd}{4}\); г) \(\frac{392y}{x}\); д) \(\frac{8y^2}{a^2x^2}\); е) \(\frac{abx^2}{88y^2}\); ж) \(\frac{2ab^2}{3z}\); з) \(\frac{65ab^2}{7728d}\).