Question

9 Comparați numărul 2^126 cu numărul 5^54
I need help right now! Please help me!!!

Answer 1

Răspuns:

$126 = 2 \times {3}^{2} \times 7$

$54 = 2 \times {3}^{3}$

$(126.54) =2 \times {3}^{2} = 18$

${2}^{126} = ( {2}^{7} )^{18} = {128}^{18}$

${5}^{54} = ( {5}^{3} )^{18} = {125}^{18}$

$= > {2}^{126} > {5}^{54}$