Question

a) 19^7 : (-19)^5 = ? b) (0,6)^7 : (0,3)^7 = ? c) (1 i 1\2)^8 : (-1,5)^6 = ? d) (-0,4)^11 : (-2\5)^8 = ? e) (-3 i 1\5)^3 : (1 i 3\5)^3 = ? F) )2 i 1\7)^2 : (45\49)^2 = ? g) (-0,25)^10 : (-10\4 i to 4 w ułamku do potęgi 10) = ?

Answer 1

a) 19^7 : (-19)^5 = - 19^(7 - 5) = - 19^2 = -361

b) (0,6)^7 : (0,3)^7 = (0,6 : 0,3)^7 = (6/10 * 10/3)^7 = 2^7 = 128

c) (1 i 1\2)^8 : (-1,5)^6 = (1,5)^(8 - 6) = 1,5^2 = 22,5

d) (-0,4)^11 : (-2\5)^8 = (-2/5)^11 : (-2/5)^8 = (-2/5)^3 = - 8/125

e) (-3 i 1\5)^3 : (1 i 3\5)^3 = (-16/5 : 8/5)^3 = (-16/5 * 5/8)^3 = (-2)^3 = -8

F) )2 i 1\7)^2 : (45\49)^2 = (15/7 * 49/45)^2 = (7/3)^2 = 49/9 = 5 i 4/9

g) (-0,25)^10 : (-10\4 i to 4 w ułamku do potęgi 10) = (1/4)^10 * 4^10/(-10) = 4^(-10) * 4^10 / (-10) = 4^(-10 + 10) / (-10) = 4^0 / (-10) = -1/10