Question

comparati nr. 2¹²⁶ cu nr. 5⁵⁴​

Answer 1

Explicație pas cu pas:

${2}^{126} = {2}^{18 \times 7} = {( {2}^{7} )}^{18} = {128}^{18} \\ {5}^{54} = {5}^{18 \times 3} = {( {5}^{3} )}^{18} = {125}^{18} \\ 128 > 125 \iff {128}^{18} > {125}^{18} \\ \implies \bf {2}^{126} > {5}^{54}$