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comparati nr a=9 la puterea 15 si b=27 la puerea 11


Răspuns :

[tex]9^{15}=(3^2)^{15}<=>3^{2*15}<=>3^{30} \\ \\ 27^{11}=(3^3)^{11}<=>3^{3*11}<=>3^{33} \\ \\ 3^{30}<3^{33}<=>\boxed{\boxed{9^{15}<27^{11}}}[/tex]
[tex]9^{15}=3^{2^{15}}=3^{30}[/tex]
[tex]27^{11}=3^{3^{11}}=3^{33}[/tex] 
    De aici tragem concluzia ca: a<b