Question

*Calculati ultima cifra a numarului s= 6 la puterea 100+2 la puterea 100* e urgenttt​

Answer 1

Răspuns:  ultima cifra 6^100=6 ;  2^1=2;2^2=4;2^3=8:2^4=16;   100:4=24=5 rest 0;  u,c(2^100)=4   u,c(6+6)=2

Explicație pas cu pas:

Answer 2

$U(6^{100}+2^{100})=U(U(6^{100})+U(2^{100}))\\ \\ U(6^1)=1\\ \\ U(6^2)=U(36)=6 \\ \\ .... \\ U(6^{100})=6\\ \\ \\ \\ U(2^1)=2\\ \\ U(2^2)=4\\ \\ U(2^3)=8\\ \\ U(2^4)=U(16)=6\\ \\ U(2^5)=U(32)=2\\ \\ .... \ (observam \ ca \ se \ repeta \ din \ 4 \ in \ 4)\\ \\ U(2^{100})=U(2^{25\cdot 4})=U(2^4)=6 \\ \\ (SAU: \ U(2^{100})=U(2^{25/cdot 4})=U((2^4)^{25})=U(16^{25})=U(6^{25})=6\\ \\ \\ \\ U(U(6^{100})+U(2^{100}))=U(6+6)=U(12)=2$