Bonjour, pouvez m'aider pour cet exercice . Merci d'avance. ​

bjr

25 = 5 x 5

125 = 5 x 25 = 5³

456 = 4 x 114 = 4 x 2 x 57

2016 = 4 x 504 = 4 x 4 x 126 = 4 x 4 x 2 x 63 = 4² x 2 x 9 x 7 = 2 x 3² x 4² x 7

25/125 = 25/5x125 = 1/5

et

2016/456 = 2 x 3² x 4² x 7 / 4 x 2 x 57 = 252 / 57

Bonjour ;

1.

a.

25 = 5 x 5 = 5² .

b.

125 = 5 x 25 = 5 x 5 x 5 = 5³ .

c.

456 = 2 x 228 = 2 x 2 x 114 = 2 x 2 x 2 x 57

= 2 x 2 x 2 x 3 x 19 = 2³ x 3 x 19 .

d.

2016 = 2 x 1008 = 2 x 2 x 504 = 2 x 2 x 2 x 252

= 2 x 2 x 2 x 2 x 126 = 2 x 2 x 2 x 2 x 2 x 63

= 2 x 2 x 2 x 2 x 2 x 3 x 21 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 =  [tex]2^5\times3^2\times7\ .[/tex]

2.

25/125 = 25/(5 x 25) = 1/5 .

2016/456 = (2 x 2 x 2 x 2 x 2 x 3 x 3 x 7)/(2 x 2 x 2 x 3 x 19)

= (2 x 2 x 3 x 7)/19 = 84/19