Question

ultima cifra a numarului 5^2006+6^1011+7^2005​

Answer 1

(u)5²⁰⁰⁶ = 5

5 ridicat la orice putere se termina in 5

(u)6¹⁰¹¹ = 6

6 ridicat la orice putere se termina in 6

(u)7²⁰⁰⁵ = (u)7²⁰⁰⁴ₓ7¹ = (u)7¹ = 7

7 ridicat la putere se repeta la interval de 4 (7, 9, 3, 1)

*(u)5²⁰⁰⁶ + 6¹⁰¹¹ + 7²⁰⁰⁵ = 5 + 6 + 7 = 18 = 8