Raspuns: [tex]\bf 2^{126}>5^{54}[/tex]
Explicație pas cu pas:
✧ Buna!
Retinem: Daca doua puteri au același exponent, este mai mare puterea care are baza mai mare.
[tex]\boxed{\boxed{\bf a>b \Longleftrightarrow a^{n}>b^{n}~,\bf unde~a,b,n\in\mathbb{N^{*}}}}[/tex]
[tex] \bf \: [/tex][tex]\bf 2^{126} = 2^{7\cdot 18}= (2^{7} )^{18} =\underline{\bf 128^{18}}[/tex]
[tex]\bf 5^{54} = 5^{3\cdot 18}= (5^{3} )^{18} =\underline{\bf 125^{18}}[/tex]
[tex]\bf 128^{18} >\bf 125^{18}\implies \boxed{\bf 2^{126}>5^{54}}[/tex]
#copaceibrainly
