Question

Daca se poate va rog sa ma ajutati :determinati ultima ultima cifra a numarului 68 la puterea 86☺☺

Answer 1

68⁸⁶
ultima cifra a puterilor lui 8 sunt seturi de cate 4:8,4,2,6
86:4=21 rest 2
68⁸⁶are ultima cifra=4

Answer 2

[tex]U(68^{86})=U(68)^{86}=U(8^{86})\\8^{1}=8\\8^{2}=64\\8^{3}=512\\8^{4}=4096\\8^{5}=32768\\Puterile\ lui\ 8\ se\ termina\ in:8,4,5,6\\Este\ set\ de\ 4\\ 86:4=21\ rest\ 2\\U(8^{86})=U(8^{4*21+2})=U(8^{2})=U(64)=4[/tex]