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Comparati puteriile :

16^14 si 8^21
25^25 si 5^48


Răspuns :

[tex]16^{14} = (2^{4} ) ^{14} =2 ^{4*14} = 2^{56} [/tex]

[tex]8^{21} = (2^{3} ) ^{21} =2 ^{3*21} = 2^{63} [/tex]

[tex]56 < 63[/tex]⇒[tex]2^{56} <2 ^{63}[/tex]

[tex]25^{25} = (5^{2} ) ^{25} =5 ^{2*25} = 5^{50} [/tex]

[tex]50>48[/tex]⇒[tex]5 ^{50} >5 ^{48}[/tex]