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ultima citrà a sumei 5 la puterea 2010 + 7 laputerea 2009 este ?

Răspuns :

S=5^2010+7^2009
U(5^2010)=5
U(7^2009)=U[(7^4)^502x7^1]=U(2401^502x7)=U(1x7)=7
U(5+7)=2
U 5^n=5 deci U 5^2010=5
U 7^2009=
U 7^1=7
U 7^2=9
U 7^3=3
U 7^4=1
2009:4=502rest 1
U 7^2009= 7
U 5+ U 7=6
U 5^2010 + 7^2009=2