Выполните действия

1. a) $$x^2 \cdot x^9 = x^{2+9} = x^{11}$$
2. б) $$x^{11} : x^5 = x^{11-5} = x^6$$
3. в) $$x^{10} : x^{10} = x^{10-10} = x^0 = 1$$
4. г) $$(x^8)^5 = x^{8 \cdot 5} = x^{40}$$
5. д) $$(x^4)^6 \cdot x^3 = x^{4 \cdot 6} \cdot x^3 = x^{24} \cdot x^3 = x^{24+3} = x^{27}$$
6. е) $$\frac{x^{13} \cdot x}{x^{10}} = \frac{x^{13+1}}{x^{10}} = \frac{x^{14}}{x^{10}} = x^{14-10} = x^4$$
7. ж) $$x^8 \cdot (x^2)^3 = x^8 \cdot x^{2 \cdot 3} = x^8 \cdot x^6 = x^{8+6} = x^{14}$$
8. з) $$(2x)^6 = 2^6 \cdot x^6 = 64x^6$$
9. и) $$(3ab^5)^4 = 3^4 \cdot a^4 \cdot (b^5)^4 = 81a^4b^{5 \cdot 4} = 81a^4b^{20}$$
10. к) $$\left(\frac{a}{4}\right)^3 = \frac{a^3}{4^3} = \frac{a^3}{64}$$
11. л) $$\left(\frac{4a^3}{3b^7}\right)^3 = \frac{(4a^3)^3}{(3b^7)^3} = \frac{4^3 \cdot (a^3)^3}{3^3 \cdot (b^7)^3} = \frac{64a^{3 \cdot 3}}{27b^{7 \cdot 3}} = \frac{64a^9}{27b^{21}}$$