Răspuns:
Explicație pas cu pas:
a) f = 49/15*10/21 -8/27*63/32 =
7/3*2/3 -1/3*7/4 =
14/9 - 7/12 =
(14*12 -63)/(9*12) =
105/63 = 35/21 = 5/3
Inversa = 3/5
b) (2/5)^n :2*2/5 = 2/25
(2/5)^(n-1)*1/2 = 2/25
(2/5)^(n-1)= 4/25 = (2/5)^2
n-1 = 2, n = 3
c)1:3/2 = 1*2/3
2/3:4/3 = 2/3*3/4 ....
1*2/3*3/4*4/5*...*99/101 = 1*2/101 = 2/101