Question

Daca x = [(-1/2)(-1/2)la puterea 2]:[(-1/2)la puterea 2 ] la puterea 2 , atunci (x-1/x) este egal cu .... ?Ajutor URGENT !! Va rog . 

Answer 1

/- impartire; ^-putere; *-inmultire
[(-1/2)(1/4)]:(-1/2)^4= -1/8:(-1/16)= -1/8 * (-16)= 2 => x=2
x-1/x= 2-1/2= 1/2

Answer 2

$[(-\frac{ 1}{2} )* ( -\frac{1}{2} ) ^{2} ]:[(- \frac{1}{2} ) ^{2} ] ^{2} =(- \frac{1}{2} ) ^{1+2} :(- \frac{1}{2} ) ^{2*2} =- \frac{1}{2 ^{3} } * 2^{4} =-2$

$x- \frac{1}{x} =-2+ \frac{1}{2} = \frac{-2*2+1}{2} = \frac{-4+1}{2} = \frac{-3}{2}$