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Răspuns:
5).
[tex]16 \times 25 = {2}^{4} \times {5}^{2} = ({ {2}^{2} })^{2} \times {5}^{2} [/tex]
[tex] {2}^{18} \times {3}^{6} = ({ {2}^{9} })^{2} \times ({ {3}^{3} })^{2} [/tex]
[tex]25 \times {3}^{18} = {5}^{2} \times ( { {3}^{9} })^{2} [/tex]
[tex]16 \times 100 = ({ {2}^{2} })^{2} \times {10}^{2} [/tex]
.....
6) numerele a caror ultima cifra este 2,3,7,8
a)324587 are u.c. 7 deci nu este p.p.
b)
[tex] {2}^{456} + {2}^{455} sunt \: numere \: consecutiv \\ uc \: a \: \: lui {2}^{456} = 6 \\ uc \: a \: lui {2}^{455 } = 8 \\ [/tex]