Question

comparați numerele
${2}^{90}$
Si
${3}^{54}$
Ma rog urgent​

Answer 1

Răspuns:

$90 = 2 \times {3}^{2} \times 5$

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

$cmmdc = 2 \times {3}^{2} = 18$

${2}^{90} = ( {2}^{5} )^{18} = {32}^{18}$

${3}^{54} = ( {3}^{3} )^{18} = {27}^{18}$

$= > {2}^{90} > {3}^{54}$