👤

Determinati ultima cifra a numarului : x=2015 la puterea 2019+2016 la puterea 2019+2017 la puterea 2019+2018 la puterea 2019

Răspuns :

Uc(x)=Uc(2015²⁰¹⁹+2016²⁰¹⁹+2017²⁰¹⁹+2018²⁰¹⁹)=Uc(5+6+3+2)=Uc(16)=6
Uc(2015²⁰¹⁹)=Uc(5²⁰¹⁹)=5
Uc(2016²⁰¹⁹)=Uc(6²⁰¹⁹)=6
Uc(2017²⁰¹⁹)=Uc(7²⁰¹⁹)=Uc(7⁵⁰⁴ˣ⁴+³)=Uc(7³)=Uc(343)=3
Uc(2018²⁰¹⁹)=Uc(8²⁰¹⁹)=Uc(8⁵⁰⁴ˣ⁴+³)=Uc(8³)=Uc(512)=2