Question

*URGENT!!!*

comparati nr 2⁴⁵ 5³⁰ ​

Answer 1

Răspuns:

$45 = {3}^{2} \times 5$

$30 = 2 \times 3 \times 5$

$(45.30) = 3 \times 5 = 15$

${2}^{45} = ( {2}^{3} )^{15} = {8}^{15}$

${5}^{30} = ( {5}^{2} )^{15} = {25}^{15}$

$= > {2}^{45} < {5}^{30}$