№ 6.4 Алгебра = № 11.4 Математика
Виконайте дію:
1. $\frac{3a^2}{b}:\frac{a}{b^2};$
2. $-\frac{3p}{c^3}:\frac{15p^2}{c^2};$
3. $\frac{4p}{5c}:\frac{8p^2}{15c^3};$
4. $\frac{15m^3}{c}:\left(-10m^2\right);$
5. $ -\frac{2a^2}{b}:\left(-8a^2\right);$
6. $-12a^2bc:\frac{4ab}{m}.$
Розв'язок:
1. $\frac{3a^2}{b}:\frac{a}{b^2}=\frac{3a^2\cdot b^2}{b\cdot a}=\ 3ab;$
2. $-\frac{3p}{c^3}:\frac{15p^2}{c^2}=-\frac{3p\cdot c^2}{c^3\cdot15p^2}=-\frac{1}{5pc};$
3. $\frac{4p}{5c}:\frac{8p^2}{15c^3}=\frac{4p\cdot15c^3}{5c\cdot8p^2}=\frac{3c^2}{2p};$
4. $\frac{15m^3}{c}:\left(-10m^2\right)=\frac{15m^3\cdot1}{c\cdot\left(-10m^2\right)}=$
$= -\frac{3m}{2c};$
5. $ -\frac{2a^2}{b}:\left(-8a^2\right)=\frac{2a^2\cdot1}{b\cdot8a^2}=\frac{1}{4b};$
6. $-12a^2bc:\frac{4ab}{m}=\frac{-12a^2bc\cdot m}{4ab}=$
$= -\frac{3acm}{1}=-3acm.$