What is the square of 1 + 2 + 2 + 3 power of 2 + 4 power of 2 until 2009 power of 2?

What is the square of 1 + 2 + 2 + 3 power of 2 + 4 power of 2 until 2009 power of 2?


Let s = 1 + 2 & sup2; + 2 & sup3; + +2^2009
Multiply both sides by two
2s=2²+2³+…… +2^100+2^2010
subtract
Left = 2s-s = s
Right = (2 & sup2; + 2 & sup3; +...) +2^2009+2^2010)-(1+2²+2³+…… +2^2009)
Middle positive and negative offset
Right = 2 ^ 2010-1
So 1 + 2 & sup2; + 2 & sup3; + +2^100=2^2010-1



A list of monomials: X, - 2x & # 178;, 4x & # 179;, the nth one is ()





(1) 4x-1.2 = 10.8-4x (2) 1.2x + 8.5 = 5x-1 (3) 1.8-2.4x = 8x-0.72


(1)4x-1.2=10.8-4x
4x+4x=10.8+1.2
8x=12
x=12÷8
x=3/2
(2)1.2x+8. 5=5x-1
5x-1.2x=0.5+1
3.8x=1.5
x=1.5÷3.8
x=15/38
(3)1.8-2.4x=8x-0.72
8x+2.4x=1.8+0.72
10.4x=2.52
x=2.52÷10.4
x=63/260