Question

1996 Puzzle
Use The Numerals 1, 9, 9 And 6 Exactly In That Order
To Make The Following Numbers: 28, 32, 35, 38, 72, 73,
76, 77,100 And 1000.
You Can Use The Mathematical Symbols +, -,,,,
(exponent Symbol) And Brackets.
Example: 63 = 1x9+9x6​

Answer 1

Step-by-step explanation:

1+9+√(9)×6 = 28

(1/√(9))×96 = 32

-19+(9x6) = 35

19/(√(9)/6) = 38

(1+√(9))×√(9)×6 = 72

19+(9×6) = 73

1+(9×9)-6 = 76

-19+96 = 77

1+√(9)+96 = 100

(1+9)^(9-6) = 1000

Robert Veith has worked out all of these:

1 + 9(-√(9) + 6) = 28

19 + √(9) + 6 = 28

1^9 + √(√(9))^6 = 28

1 + √(9)(√(9) + 6) = 28

1 + 9(-√(9) + 6) = 28

1 + 9(9 - 6) = 28

1 + √(9)^(-√(9) + 6) = 28

1 + √(9)^(9 - 6) = 28

1 + √(√(√(√(√(√(9))))))^96 = 28

-1 + √(9)^√(9) + 6 = 32

-1 + 9*√(9) + 6 = 32

-1 + (√(9) + √(9))(6) = 35

-1 + (9 - √(9))(6) = 35

-1 + 9 + √(√(9))^6 = 35

(-1 + 9)(√(9) + 6) = 72

1(9 + √(9))(6) = 72

(1*9 + √(9))(6) = 72

1 + (9 + √(9))(6) = 73

(1 + 9)^√(√(9) + 6) = 1000

√(√(1 + 99))^6 = 1000

(1 + 9)^(-√(9) + 6) = 1000

√(√(√(√(√(1 + 9)^96 = 1000