Question

Aflați x din proporția a/x=8^670/0,25 Unde a=2^2010-2^2009-2^2008

Answer 1

a=2^2008  (2^2 -2^1 - 1) = 2^2008  *  (4-2-1) = 2^2008
8^670  /  0,25 = (2^3)^670  / 1/4 = 2^2010 * 2^2 = 2^2012
Astfel avem:
2^2008  /  x  =  2^2012
x = 2^2008 / 2^2012 = 1/ 2^(2012-2008) = 1/2^4 = 1/16

Answer 2

a=2^2008(2^2-2-1)=2^2008×1=2^2008
0,25=25/100=1/4=1/2^2=2^-2
8^670=(2^3)^670=2^2010
2^2010:1/4=2^2010:2^-2=2^(2010+2)=2^2012
a/x=2^2012
x=a/2^2012
x=2^2008/2^2012
x=2^(2008-2012)
x=2^(-4)
x=1/2^4
x=1/16