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2*2^2*2^3*......*2^10

*=ori
^=la puterea
(este sumă gauss)


Răspuns :

[tex]2\cdot2^{2}\cdot2^{3} \cdot 2^{4}\cdot .....\cdot 2^{10}= 2^{1+2+3+....+10} \\ \\ 1+2+3+.....+10=(10\cdot 11):2=55 \\ \\ 2\cdot2^{2}\cdot2^{3} \cdot 2^{4}\cdot .....\cdot 2^{10}= 2^{55} [/tex]