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(2^100+2^101+2^102):2^100=...

Răspuns :

desfaci paranteza
2^100:2^100+2^101:2^100+2^102:2^100

Stii ca daca ai imprtire si baza e aceeasi, atunci baza se pastreaza si puterile se scad
avem 
2^(100-100)+2^(101-100)+2^(102-100)=
2^0+2^1+2^2=
1+2+4=7
[tex]2^{100}(1+2+2^2):2^{100}=1+2+2^2=7[/tex]