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Determinati ultima cifra a nr 2 la puterea 2003


Răspuns :

U[2 la 2003]=U[2la 3]=U 8
2003:4=500 [r=3]
    
[tex]U(2^{2003}) = U(2^{2000+3})=U(2^{2000} \times 2^3)= U(2^{4 \times 500} \times 2^3)= \\ U((2^4)^{500} \times 2^3)=U(16^{500} \times 8) U(6 \times 8) =U(48) = \boxed{8}[/tex]