Question

Cine mă ajută primește 50 de puncte și coroană♥️
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Answer 1

Răspuns:

Explicație pas cu pas:

a = [ ( 5 / 2  + 5 / 4  - 3 / 4 ) : 5 + 2 / 5 ] ⁵

a = [ ( 10+ 5 - 3 ) / 4  x 1 / 5 + 2 / 5 ]⁵

a = [ ( 12 / 4 ) x 1 / 5 + 2 / 5 ]⁵

a = ( 3 / 5 + 2 / 5 )⁵

a = ( 5 / 5 )⁵

a = 1⁵

a = 1

______________________________

→ introduc intregii in fractie:

2 intregi si 1 / 3 = ( 2 ×3+1)/ 3 = 7 / 3

3 intregi si 1 / 2 = ( 3×2+1) / 2 = 7 / 2

3 intregi si 1 / 3 = ( 3×3 + 1 ) / 3 = 10 / 3

______________________________

b = ( 7 / 3  + 7 / 2 ) : 7 / 12 - [ (10 / 3 ) : 1 / 3 - 3 :  3 / 10 + ( 3 / 2 ) : ( 1 / 2)³ ]

b = ( 14 + 21 ) / 6  ×  12 / 7 - [ ( 10 / 3 × 3 / 1 - 3 × 10 / 3 + ( 3 / 2 ) × 2³ / 1

b = ( 35 / 7 ) × ( 12 / 6 ) - ( 10 - 10 + 3 × 4 )

b = 10 - 12

b = - 2

_________________________

a > b;   1 > - 2

Answer 2

a = [ ( 5 / 2 + 5 / 4 - 3 / 4 ) : 5 + 2 / 5 ] ^ 5

a = [ ( 10 / 4 + 5 / 4 - 3 / 4 ) : 5 + 2 / 5 ] ^ 5

a = [ ( 15 / 4 - 3 / 4 ) : 5 + 2 / 5 ] ^ 5

a = ( 12 / 4 : 5 + 2 / 5 ) ^ 5

a = ( 3 / 1 × 1 / 5 + 2 / 5 ) ^ 5

a = ( 3 / 5 + 2 / 5 ) ^ 5

a = ( 5 / 5 ) ^ 5

a = 1 ^ 5

a = 1

b = ( 2 × 3 + 1 / 3 + 3 × 2 + 1 / 2 ) : 7 / 12 - [ 3 × 3 + 1 / 3 : 1 / 3 - 3 : 3 / 10 + 3 / 2 : ( 1 / 2 ) ^ 2 )

b = ( 6 + 1 / 3 + 6 + 1 / 2 ) : 7 / 12 - [ 9 + 1 / 3 : 1 / 3 - 3 : 3 / 10 + 3 / 2 : ( 1 / 2 ) ^ 2 ]

b = ( 7 / 3 + 7 / 2 ) : 7 / 12 - [ 10 / 3 : 1 / 3 - 3 : 3 / 10 + 3 / 2 : ( 1 / 2 ) ^ 2 ]

b = ( 14 / 6 + 21 / 6 ) : 7 / 12 - [ 10 / 3 : 1 / 3 - 3 : 3 / 10 + 3 / 2 : ( 1 / 2 ) ^ 2 ]

b = 35 / 6 : 7 / 12 - [ 10 / 3 × 3 / 1 - 3 / 1 : 3 / 10 + 3 / 2 : ( 1 / 2 ) ^ 2 ]

b = 35 / 6 × 12 / 7 - [ 30 / 3 - 3 / 1 × 10 / 3 + 3 / 2 : ( 1 / 2 ) ^ 2 ]

b = 420 / 42 - [ 30 / 3 - 30 / 3 + 3 / 2 : ( 1 / 2 ) ^ 2 ]

b = 10 / 1 - [ 0 / 3 + 3 / 2 : ( 1 / 2 ) ^ 2 ]

b = 10 - ( 0 / 6 + 9 / 6 : 1 / 4 )

b = 10 - ( 0 / 6 + 9 / 6 × 4 / 1 )

b = 10 - ( 0 / 6 + 36 / 6 )

b = 10 - ( 36 / 6 )

b = 10 - 6 / 1

b = 10 - 6

b = 4


1 < 4

a < b