1. Выполните действия: a) $$y^2 \cdot y^5 =$$ б) $$y^9 : y^2 =$$ в) $$y^6 : y^6 =$$ г) $$(y^3)^6 =$$ д) $$(y^3)^4 \cdot y^7 =$$ е) $$\frac{y^{26}}{y^8} =$$ ж) $$y^5 \cdot (y^5)^6 =$$ з) $$(4y)^3 =$$ и) $$(7a^4b)^2 =$$ к) $$(\frac{a}{2})^5 =$$ л) $$(\frac{3a^2}{2b})^4 =$$

Решение: a) $$y^2 \cdot y^5 = y^{2+5} = y^7$$ б) $$y^9 : y^2 = y^{9-2} = y^7$$ в) $$y^6 : y^6 = y^{6-6} = y^0 = 1$$ г) $$(y^3)^6 = y^{3\cdot 6} = y^{18}$$ д) $$(y^3)^4 \cdot y^7 = y^{3\cdot 4} \cdot y^7 = y^{12} \cdot y^7 = y^{12+7} = y^{19}$$ е) $$\frac{y^{26}}{y^8} = y^{26-8} = y^{18}$$ ж) $$y^5 \cdot (y^5)^6 = y^5 \cdot y^{5\cdot 6} = y^5 \cdot y^{30} = y^{5+30} = y^{35}$$ з) $$(4y)^3 = 4^3 \cdot y^3 = 64y^3$$ и) $$(7a^4b)^2 = 7^2 \cdot (a^4)^2 \cdot b^2 = 49a^8b^2$$ к) $$(\frac{a}{2})^5 = \frac{a^5}{2^5} = \frac{a^5}{32}$$ л) $$(\frac{3a^2}{2b})^4 = \frac{(3a^2)^4}{(2b)^4} = \frac{3^4 \cdot (a^2)^4}{2^4 \cdot b^4} = \frac{81a^8}{16b^4}$$