Question

Va rog ajutatimaaaaaa!!!!!!! E urgennntttt!
1)Comparati numerele a=5*5²*5³*...*5la put.50 si b=2la put. 3825.
2)Efectuati (abc+bca+cab):(a+b+c).
Rasp la care stiti please.....

Answer 1

1. 5*5^2*...*5^50=5^(1+2+3+...+50)=5^(50*51/2)=5^(25*51)=5^1275
   2^3825=2^(1275*3)=(2^3)^1275
  avem de comparat 5^1275 cu (2^3)^1275
compar baza 5< 2^3 (5<8)
⇒ a<b
2. abc+bca+cab=100a+10b+c+100b+10c+a+100c+10a+a=a*111+b*111+c*111=
111(a+b+c)
111(a+b+c):(a+b+c)=111

Answer 2

1. 5*5^2*...*5^50=5^(1+2+3+...+50)=5^(50*51/2)=5^(25*51)=5^1275
   2^3825=2^(1275*3)=(2^3)^1275
  avem de comparat 5^1275 cu (2^3)^1275
compar baza 5< 2^3 (5<8) 

Si la  nu stiu