Question

Resolva as expressões a seguir:

5 . (-10/3)¹ + 2 . (1/2)-¹ = -38/3
3 . [(-1/2)² + 2-³ + (-2)-²] = 15/8
3-¹ . 2-² + 3-² . 2-¹ + (-3)-¹ . (-2)-¹ = 11/36
[1/2 . (-3/2) - (-1/2)³]-² = 64/25
[(+1/2) . (-2/3) - (-4/3)]² : (3/2)-¹

Answer 1

5 . (-10/3) + 2 .(2/1) =
 -50/3 + 4 = 
 -50/3 + 12/3 = -38/3             
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3 .[(1/4) + 1/8 + 1/4 ]
3 .[ 2/8 + 1/8 + 2/8 ]
3 . 5/8 = 15/8                     
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1/3 . 1/4  + 1/9 . 1/2 - 1/3 . -1/2
   1/12 + 1/18 + 1/6
    12/144 + 8/144 + 24/144
           44/144 = 11/36             
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[ -3/4 + 1/8 ]-²
  [-6/8 + 1/8]-²
    -5/8 -² = 64/25               
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[ -2/6 + 4/3 ]²/ 2/3
 [ -2/6 + 8/6]²/2/3
  [ 6/6]²/ 2/3
   1/2/3
   1/1 . 3/2 = 3/2          ok