Question

u(31 la puterea 8)
u(48 la puterea 25)
u(5 la puterea 66)
u(44 la puterea 90)
u(29 la puterea 19)
u(7 la puterea 109)

Answer 1

Răspuns:

Explicație pas cu pas:

U(31^8) = U(1^8) = 1

_________

U(48^25) = U(8^25)

U(8^1) = 8

U(8^2) = 4

U(8^3) = 2

U(8^4) = 6

U(8^5) = 8

ultima cifra se repeta din 4 in 4

25 : 4 = 6 rest 1

U(48^25) = 8

____________

U(5^66) = 5

____________

U(44^90) = U(4^90)

U(4^1) = 4

U(4^2) = 6

U(4^3) = 4

U(44^90) = 6

_____________

U(29^19) = U(9^19)

U(9^1) = 9

U(9^2) = 1

U(9^3) = 9

U(29^19) = 9

_______________

U(7^1) = 7

U(7^2) = 9

U(7^3) = 3

U(7^4) = 1

U(7^5) = 7

ultima cifra se repeta din 4 in 4

109 : 4 = 27 rest 1

U(7^109) = 7