№3. Свойство: а": ат = an-m. 15:12 = 49:42 = 721:78 = 1033 = 1019 134 = 13 24:23 = 38:33 = 511:57 = 612:65 = 84:81 = 918.97 = 119 126 = = 118 142 124 1510 = = 14 15

Для решения данных примеров необходимо воспользоваться свойством степеней: $$a^n:a^m = a^{n-m}$$.

1. $$15:12 = 15^{1-2} = 15^{-1} = \frac{1}{15}$$
2. $$4^9:4^2 = 4^{9-2} = 4^7 = 16384$$
3. $$7^{21}:7^{8} = 7^{21-8} = 7^{13} = 96889010407$$
4. $$10^{3}:10^{3} = 10^{3-3} = 10^0 = 1$$
5. $$2^4:2^3 = 2^{4-3} = 2^1 = 2$$
6. $$3^8:3^3 = 3^{8-3} = 3^5 = 243$$
7. $$5^{11}:5^{7} = 5^{11-7} = 5^4 = 625$$
8. $$6^{12}:6^{5} = 6^{12-5} = 6^7 = 279936$$
9. $$8^4:8^1 = 8^{4-1} = 8^3 = 512$$
10. $$9^{18}:9^{7} = 9^{18-7} = 9^{11} = 31381059609$$
11. $$11^9:11 = 11^{9-1} = 11^8 = 214358881$$
12. $$12^6:12^0 = 12^{6-0} = 12^6 = 2985984$$
13. $$11^8:11 = 11^{8-1} = 11^7 = 19487171$$
14. $$14^2:14 = 14^{2-1} = 14^1 = 14$$
15. $$12^4:12 = 12^{4-1} = 12^3 = 1728$$
16. $$15^{10}:15 = 15^{10-1} = 15^9 = 38443359375$$

Ответ: 1/15; 16384; 96889010407; 1; 2; 243; 625; 279936; 512; 31381059609; 214358881; 2985984; 19487171; 14; 1728; 38443359375.