№2. Свойство: апат = antm. 15.12 = 23.24= 33.38 = 42.49 = 54.57 = 612.65 = 721.78 = 84.81 = 92.97 = 103.1019= 11.119 = 12.126 = 13.134 = 14.142 = 1510.15 =

№2. Свойство: $$a^n \cdot a^m = a^{n+m}$$.

1. $$1^5 \cdot 1^2 = 1^{5+2} = 1^7 = 1$$


2. $$2^3 \cdot 2^4 = 2^{3+4} = 2^7 = 128$$


3. $$3^3 \cdot 3^8 = 3^{3+8} = 3^{11} = 177147$$


4. $$4^2 \cdot 4^9 = 4^{2+9} = 4^{11} = 4194304$$


5. $$5^4 \cdot 5^7 = 5^{4+7} = 5^{11} = 48828125$$


6. $$6^{12} \cdot 6^5 = 6^{12+5} = 6^{17} = 2821109907456$$


7. $$7^{21} \cdot 7^8 = 7^{21+8} = 7^{29} = 2.1551875795755665 \cdot 10^{24}$$


8. $$8^4 \cdot 8^1 = 8^{4+1} = 8^5 = 32768$$


9. $$9^2 \cdot 9^7 = 9^{2+7} = 9^9 = 387420489$$


10. $$10^3 \cdot 10^{19} = 10^{3+19} = 10^{22} = 10000000000000000000000$$


11. $$11 \cdot 11^9 = 11^{1+9} = 11^{10} = 25937424601$$


12. $$12 \cdot 12^6 = 12^{1+6} = 12^7 = 35831808$$


13. $$13 \cdot 13^4 = 13^{1+4} = 13^5 = 371293$$


14. $$14 \cdot 14^2 = 14^{1+2} = 14^3 = 2744$$


15. $$15^{10} \cdot 15 = 15^{10+1} = 15^{11} = 8649755859375$$

Ответ: 1) $$1^7 = 1$$; 2) $$2^7 = 128$$; 3) $$3^{11} = 177147$$; 4) $$4^{11} = 4194304$$; 5) $$5^{11} = 48828125$$; 6) $$6^{17} = 2821109907456$$; 7) $$7^{29} = 2.1551875795755665 \cdot 10^{24}$$; 8) $$8^5 = 32768$$; 9) $$9^9 = 387420489$$; 10) $$10^{22} = 10000000000000000000000$$; 11) $$11^{10} = 25937424601$$; 12) $$12^7 = 35831808$$; 13) $$13^5 = 371293$$; 14) $$14^3 = 2744$$; 15) $$15^{11} = 8649755859375$$