2 6 7 9

All 100 targets have a solution.

\(1 = ( 7 - 6 )^{29 }\)
\(2 = \frac{ 6 }{ \frac{ 27 }{ 9 } }\)
\(3 = 72 - 69 \)
\(4 = \sqrt{92 - 76 }\)
\(5 = \sqrt{92 - 67 }\)
\(6 = ( 72 - 69 )!\)
\(7 = \frac{ 27 - 6 }{ \sqrt{9 } }\)
\(8 = \frac{ 6^{\sqrt{9}} }{ 27 }\)
\(9 = 729 - 6 !\)
\(10 = 26 - 7 - 9 \)
\(11 = \frac{ 26 + 7 }{ \sqrt{9 } }\)
\(12 = 27 - 6 - 9 \)
\(13 = \frac{ 26 }{ 9 - 7 }\)
\(14 = 9^{2} - 67 \)
\(15 = 79 - 2^{6 }\)
\(16 = 92 - 76 \)
\(17 = 79 - 62 \)
\(18 = \frac{ 27 \cdot 6 }{ 9 }\)
\(19 = \frac{ 6! }{ 72 } + 9 \)
\(20 = 69 - 7^{2 }\)
\(21 = \sqrt{729} - 6 \)
\(22 = 26 - 7 + \sqrt{9 }\)
\(23 = \frac{ 62 + 7 }{ \sqrt{9 } }\)
\(24 = 96 - 72 \)
\(25 = 92 - 67 \)
\(26 = \sqrt{26^{9 - 7 }}\)
\(27 = 6 \cdot 9 - 27 \)
\(28 = 26 - 7 + 9 \)
\(29 = ( 7 - 6 ) \cdot 29 \)
\(30 = 27 - 6 + 9 \)
\(31 = \frac{ 62 }{ 9 - 7 }\)
\(32 = 2^{7} - 96 \)
\(33 = \sqrt{729} + 6 \)
\(34 = 6^{2} + 7 - 9 \)
\(35 = 97 - 62 \)
\(36 = 26 + 7 + \sqrt{9 }\)
\(37 = 7 \cdot 9 - 26 \)
\(38 = 67 - 29 \)
\(39 = ( 7 - 2 ) \cdot 6 + 9 \)
\(40 = \frac{ 6! }{ 27 - 9 }\)
\(41 = \frac{ 96 }{ 2 } - 7 \)
\(42 = 69 - 27 \)
\(43 = 79 - 6^{2 }\)
\(44 = ( 6 + 7 + 9 ) \cdot 2 \)
\(45 = 6 \cdot \sqrt{9} + 27 \)
\(46 = \frac{ 276 }{ \sqrt{9 }! }\)
\(47 = 76 - 29 \)
\(48 = \frac{ 72 \cdot 6 }{ 9 }\)
\(49 = 67 - 2 \cdot 9 \)
\(50 = 92 - 6 \cdot 7 \)
\(51 = ( 7 - 2 )! - 69 \)
\(52 = ( 9 - 7 ) \cdot 26 \)
\(53 = 79 - 26 \)
\(54 = \frac{ 27 \cdot 6 }{ \sqrt{9 } }\)
\(55 = 69 - 2 \cdot 7 \)
\(56 = 67 - 2 - 9 \)
\(57 = 72 - 6 - 9 \)
\(58 = 76 - 2 \cdot 9 \)
\(59 = 2^{7} - 69 \)
\(60 = 62 + 7 - 9 \)
\(61 = 97 - 6^{2 }\)
\(62 = \sqrt{62^{9 - 7 }}\)
\(63 = ( 27 - 6 ) \cdot \sqrt{9 }\)
\(64 = 62 - 7 + 9 \)
\(65 = 76 - 2 - 9 \)
\(66 = 62 + 7 - \sqrt{9 }\)
\(67 = 79 - 2 \cdot 6 \)
\(68 = 67 - 2 + \sqrt{9 }\)
\(69 = 96 - 27 \)
\(70 = 72 - \frac{ 6 }{ \sqrt{9 } }\)
\(71 = 97 - 26 \)
\(72 = 792 - 6 !\)
\(73 = 2 \cdot \sqrt{9} + 67 \)
\(74 = 67 - 2 + 9 \)
\(75 = 72 - 6 + 9 \)
\(76 = 79 - \frac{ 6 }{ 2 }\)
\(77 = \frac{ 6! - 27 }{ 9 }\)
\(78 = 62 + 7 + 9 \)
\(79 = 92 - 6 - 7 \)
\(80 = 2^{6} + 7 + 9 \)
\(81 = ( 9 - 6 ) \cdot 27 \)
\(82 = \frac{ 6 }{ 2 } + 79 \)
\(83 = 2 \cdot 7 + 69 \)
\(84 = 2^{\sqrt{9}} + 76 \)
\(85 = 2 \cdot 9 + 67 \)
\(86 = ( 7 - \sqrt{9} )! + 62 \)
\(87 = 72 + 6 + 9 \)
\(88 = \frac{ 72 + 6! }{ 9 }\)
\(89 = \frac{ 267 }{ \sqrt{9 } }\)
\(90 = \frac{ 6! }{ 72 } \cdot 9 \)
\(91 = 2 \cdot 6 + 79 \)
\(92 = \frac{ 276 }{ \sqrt{9 } }\)
\(93 = 92 - 6 + 7 \)
\(94 = 2 \cdot 9 + 76 \)
\(95 = 97 - \sqrt{6 - 2 }\)
\(96 = 27 + 69 \)
\(97 = \sqrt{97^{\sqrt{6 - 2 }}}\)
\(98 = ( 7 + 9 ) \cdot 6 + 2 \)
\(99 = ( 26 + 7 ) \cdot \sqrt{9 }\)
\(100 = \frac{ 6 }{ 2 } + 97 \)