Question

Va rog frumos urgent . Repede . Dau coroana

Answer 1

=(2^60 x 2^600 + 32^400 : 2^500) x 2=[2^60 x 2^600 + 2^(400 x 5) : 2^500]x 2=
 =(2^660 + 2^2000:2^500) x 2=(2^660 + 2^1500) x 2=luam ca exponent comun pe 660 adica:[2^660 + 2^(660+840)] x 2=(2^660 + 2^660 x 2^840) x 2=
 =2^660(2^840) x 2=2^1500 x 2=2^1501 
x=2^1501
y=5 x [3^2002 - 3^2001 - 3^(1000 x 2)]=5 x (3^2002 - 3^2001 - 3^2000)=
 =5 x [3^(2000+2) - 3^(2000+1) - 3^2000]=5 x 3^2000(3^2 - 3 - 1)=
 =5 x 3^2000(9-3-1)=5 x 3^2000 x 5
ex.9
a)2+4+6...+2018=2(1+2+3...1009)=2 x 1009 x 1010 : 2=1009 x 1010=
 =1019090
b)5+10+15...+2020=5(1+2+3...404)=5 x 404 x 405 : 2=2020 x 405=409150
c)35+38+41...+103=1(35+38+41...+103)=1 x 103 x 104 : 2=10712 : 2= 
 =5356