Question

comparati 2¹²⁶ cu 5⁵⁴ si explicati pas cu pas​

Answer 1

 

$\displaystyle\bf\\Comparam~numerele:\\\\ 2^{126}~cu~5^{54}\\\\126=7\times18\\~~~54=3\times18\\\\2^{126}=2^{7\times18}=\Big(2^7\Big)^{18}=128^{18}\\\\5^{54}=5^{3\times18}=\Big(5^3\Big)^{18}=125^{18}\\\\128^{18}>125^{18}\\\\\implies~\boxed{\bf2^{126}>5^{54}}$