(1-1/2)²⁰⁰⁶ x(1-1/3)²⁰⁰⁶ x(1-1/4)²⁰⁰⁶ x......x(1-1/2006)²⁰⁰⁶ x2006²⁰⁰⁶=
=(1/2)²⁰⁰⁶ x(2/3)²⁰⁰⁶ x(3/4)²⁰⁰⁶ x......x(2005/2006)²⁰⁰⁶ x2006²⁰⁰⁶=
=(1/2)²⁰⁰⁶ x(2/3)²⁰⁰⁶ x(3/4)²⁰⁰⁶ x......x(2005/2006)²⁰⁰⁶ x2006²⁰⁰⁶=
observa ca se simplifica 2²⁰⁰⁶ cu 2²⁰⁰⁶ , 3²⁰⁰⁶ cu 3²⁰⁰⁶ ..... si ramane
=(1/2006)²⁰⁰⁶ x2006²⁰⁰⁶= 1
1:(1+1/5)⁸²:(1+1/6)⁸²:(1+1/7)⁸²:.....:(1+1/49)⁸²:100⁻⁴²=
=1:(6/5)⁸²:(7/6)⁸²:(8/7)⁸²:.....:(50/49)⁸²: (1/100)⁴²=
=1x(5/6)⁸²x(6/7)⁸²x(7/8)⁸²:.....:(49/50)⁸²: (1/100)⁴²=
se simplifica 6⁸² cu 6⁸², 7⁸² cu 7⁸²......50⁸² cu 50⁸² si ramane
=(5/50)⁸² x 100⁴²=
=(1/10)⁸² x 10⁸⁴=10²=100
