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DAU COROANA VA ROG VREAU SA FIE REZOLVAT PANA PE DATA DE 12.11.2017 EX 11. 12 13 15

DAU COROANA VA ROG VREAU SA FIE REZOLVAT PANA PE DATA DE 12112017 EX 11 12 13 15 class=

Răspuns :

11))
[(1/3)^0-(1/3)^1-(1/3)^2-(1/3)^3-(1/3)^4]:(1/3)^5
= [1- 1/3 - 1/9-1/27-1/81]:1/243
= [243/243- 81/243 - 27/243 - 9/243 - 3/243]:1/243
= 123/243 : 1/243
= 123
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12))
(5/3)^7 x (5/3)^6+(3/4)^15 x (3/4)^19 : (3/4)^16-(5/3)^8 x(5/3)^5- 3^18/2^36
= (5/3)^13 + (3/4)^15+19-16) -(5/3)^13 - 3^18/2^36
= (5/3)^13 + (3/4)^18 - (5/3)^13 - 3^18/2^36
= (3/4)^18 - 3^18/2^36
= 3^18/(2^2)^18 - 3^18/2^36
= 3^18/2^36 - 3^18/2^36 = 00000
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13)))
(1/3)^50 x (1/5)^49:(1/15)^50
= (1/3)^50 x (1/5)^49 : ( 1/3)^50 x (1/5)^50
= 1x(1/5)^-1 = (1/5)^-1
b))
[(2/5)^20 +(2/5)^21+ (2/5)^22]:(4/25)10
= (2/5)^20.[(2/5)+ (2/5)^2+1]:(4/25)10
= (2/5)^20 [ 10/25+ 4/25+ 25/25]:(4/25)^10
= (2/5)^20x 39/25:(4/25)^10
= (4/25)10 X 39/25 : (4/25)^10
= 39/25 #
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14))
(3/5)^30 : 3^32+ 6^32/5^32+10^32
= (3/5)^30 : 9^32/15^32
= (3/5)^30 : (9/15)^32
= (3/5)^30 : (3/5)^29
= 3/5 #