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Comparare 3 la puterea 27. 9 la puterea 13


Răspuns :

[tex]9^{13}=(3^{2})^{13}=3^{13*2}=3^{26}[/tex]
Avem sccesiv: 27>26⇔[tex]3^{27}\ \textgreater \ 3^{26}[/tex]⇔>[tex]3^{27}\ \textgreater \ 9^{13}[/tex]
[tex]3^2^7;9^1^3 \\ 9^1^3=(3^2)^1^3=3^2^6 \\ 3^2^7\ \textgreater \ 3^2^6 \Rightarrow 3^2^6\ \textgreater \ 9^1^3[/tex]