Вычисли и запиши ответы 1. 9xy : 3ab . 27x = 9xy . 3ab : 20z = 5ab 4yz 20z 5ab 4yz 27x 2. 2ax : 3bx . 6bz =. yz ay a

1.

$$ \frac{9xy}{5ab} : \frac{3ab}{4yz} \cdot \frac{27x}{20z} = \frac{9xy}{5ab} \cdot \frac{4yz}{3ab} \cdot \frac{27x}{20z} = \frac{9xy \cdot 4yz \cdot 27x}{5ab \cdot 3ab \cdot 20z} = \frac{972x^2y^2z}{300a^2b^2z} = \frac{243x^2y^2}{75a^2b^2}$$

$$ \frac{9xy}{5ab} \cdot \frac{3ab}{4yz} : \frac{20z}{27x} = \frac{9xy}{5ab} \cdot \frac{3ab}{4yz} \cdot \frac{27x}{20z} = \frac{9xy \cdot 3ab \cdot 27x}{5ab \cdot 4yz \cdot 20z} = \frac{729abx^2y}{400abyz^2} = \frac{729x^2}{400z^2}$$

2.

$$\frac{2ax}{yz} : \frac{3bx}{ay} \cdot \frac{6bz}{a} = \frac{2ax}{yz} \cdot \frac{ay}{3bx} \cdot \frac{6bz}{a} = \frac{2ax \cdot ay \cdot 6bz}{yz \cdot 3bx \cdot a} = \frac{12a^2bxyz}{3abxyz} = 4a$$

Ответ: 1) $$\frac{243x^2y^2}{75a^2b^2}$$, $$\frac{729x^2}{400z^2}$$; 2) $$4a$$.