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aratati ca urmatoarele numere nu sunt patrate perfecte studiing ultima cifra 2 la puterea 403 plus 2 la puterea 402

Răspuns :

[tex] 2^{403} + 2^{402} =2^{402}(2+1)=2^{402}*3=(2^4)^{100}*2^2*3=16^{100}*12[/tex]
[tex]U\left \{ {16^{100}*12}\right \}=U\left \{ {16^{100}}\right \}*U\left \{ 12\right \}=U\left \{ 6*2\right \}=2[/tex]