Question

( 2 la puterea1 x 2 la puterea 2 x 2 la puterea 3.........2 la puterea 50):(2 la puterea 17) la puterea 75

Answer 1

2la puterea 1+2+3+...+50=2la
puterea(51×50)÷2= 2la puterea
1275
(2la puterea 17)la puterea 75=
2la puterea 1275
deci raspunsul este1

Answer 2

[tex]( 2^{1} * 2^{2} * 2^{3} *...* 2^{50} ) : ( 2^{17} )la puterea75 [/tex] =
$( 2^{1+2+3+...+50} ): 2^{17*75}$ =
( [tex]1+2+3+..+50= \frac{50*(50+1)}{2} = \frac{2550}{2} = 1275 [/tex] )
$2^{1275} : 2^{1275}$ =
$2^{0}$ =
1