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Help me pls :)).....

Help Me Pls class=

Răspuns :

[tex]2*2^{1}*2^{2}...*2^{10}=2^{1+2+3+...+10}=2^{55}=(2^{5})^{11}=32^{11}[/tex]

[tex]1+2+3+...+10=\frac{10(10+1)}{2}=\frac{10*11}{2}=5*11=55[/tex]


[tex]3^{44}=(3^{4})^{11}=81^{11}[/tex]


[tex]32^{11}<81^{11} => 2*2^{1}*2^{2}...*2^{10} < 3^{44}[/tex]