Question

Comparati numerele x=2 la puterea 96 + 2 la puterea 98 + 2 la puterea 100 cu y=2 la puterea 101 + 2 la puterea 99 + 2 la puterea 97

Answer 1

1)x=2^96+2^98+2^100=2^96(1+2²+2^4=2^96*21 y=2^101+2^99+2^97=2^96(2^5+2^3+2)=2^96*42 =>y>x 2)Comparam termenii pe care îi au în componenta : 2^96<2^97; 2^98<2^99; 2^100<2^101=>x