Question

COMPARATI NUMERELE: 5×5²×5³×...×5⁵⁰ □ 2²⁹⁷⁵​

Answer 1

Explicație pas cu pas:

$5 \times {5}^{2} \times ... \times {5}^{50} = {5}^{1 + 2 + ... + 50} = {5}^{ \frac{50 \times 51}{2} } = {5}^{25 \times 51} = {5}^{1275}$

${5}^{1275} < {2}^{2975}$