All 100 targets have a solution.
\(1 = 69^{9 - 9 }\)
\(2 = 9 - ( \frac{ 9 }{ 9 } + 6 )\)
\(3 = 99 - 96 \)
\(4 = 9 - ( 6 - \frac{ 9 }{ 9 } )\)
\(5 = \frac{ 99 }{ 9 } - 6 \)
\(6 = ( 99 - 96 )!\)
\(7 = \frac{ 6 \cdot 9 + 9 }{ 9 }\)
\(8 = \frac{ 69 + \sqrt{9} }{ 9 }\)
\(9 = ( 9 - 9 ) \cdot 6 + 9 \)
\(10 = 6^{9 - 9} + 9 \)
\(11 = \frac{ 96 + \sqrt{9} }{ 9 }\)
\(12 = 9 \cdot 9 - 69 \)
\(13 = \frac{ 69 + 9 }{ \sqrt{9 }! }\)
\(14 = \frac{ 69 }{ \sqrt{9} } - 9 \)
\(15 = 96 - 9 \cdot 9 \)
\(16 = \frac{ 96 }{ 9 - \sqrt{9 } }\)
\(17 = \frac{ 99 }{ 9 } + 6 \)
\(18 = \frac{ 99 + 9 }{ 6 }\)
\(19 = 99 - \frac{ 6! }{ 9 }\)
\(20 = \frac{ 69 - 9 }{ \sqrt{9 } }\)
\(21 = \sqrt{9}!! - 699 \)
\(22 = \frac{ 69 - \sqrt{9} }{ \sqrt{9 } }\)
\(23 = \frac{ 69 \cdot \sqrt{9} }{ 9 }\)
\(24 = \frac{ 69 + \sqrt{9} }{ \sqrt{9 } }\)
\(25 = \frac{ 96 }{ \sqrt{9}! } + 9 \)
\(26 = \frac{ 69 + 9 }{ \sqrt{9 } }\)
\(27 = \frac{ 99 }{ \sqrt{9} } - 6 \)
\(28 = \frac{ 9! }{ ( 9 + 9 ) \cdot 6 ! }\)
\(29 = \frac{ 96 - 9 }{ \sqrt{9 } }\)
\(30 = 99 - 69 \)
\(31 = \frac{ 99 - 6 }{ \sqrt{9 } }\)
\(32 = \frac{ 69 }{ \sqrt{9} } + 9 \)
\(33 = \frac{ 99 }{ 9 - 6 }\)
\(34 = \frac{ 96 + \sqrt{9}! }{ \sqrt{9 } }\)
\(35 = \frac{ 96 + 9 }{ \sqrt{9 } }\)
\(36 = ( 9 - 6 ) \cdot 9 + 9 \)
\(37 = \frac{ 6! }{ 9 + 9 } - \sqrt{9 }\)
\(38 = \frac{ 96 }{ \sqrt{9} } + \sqrt{9 }!\)
\(39 = \frac{ 99 }{ \sqrt{9} } + 6 \)
\(40 = \frac{ ( 6 - \frac{ 9 }{ 9 } )! }{ \sqrt{9 } }\)
\(41 = \frac{ 96 }{ \sqrt{9} } + 9 \)
\(42 = 69 - \sqrt{9} \cdot 9 \)
\(43 = \frac{ 6! }{ 9 + 9 } + \sqrt{9 }\)
\(44 = \frac{ \sqrt{9}!! }{ 9 } - 6 \cdot \sqrt{9 }!\)
\(45 = 99 - 6 \cdot 9 \)
\(46 = \frac{ 69 \cdot \sqrt{9}! }{ 9 }\)
\(47 = \frac{ \frac{ 9! }{ 6! } }{ 9 } - 9 \)
\(48 = ( 9 - \frac{ 9 }{ 9 } ) \cdot 6 \)
\(49 = \frac{ 6! }{ 9 + 9 } + 9 \)
\(50 = \frac{ \frac{ 9! }{ 6! } }{ 9 } - \sqrt{9 }!\)
\(51 = 69 - 9 - 9 \)
\(52 = \sqrt{9}! \cdot 9 - \frac{ 6 }{ \sqrt{9 } }\)
\(53 = 6 \cdot 9 - \frac{ 9 }{ 9 }\)
\(54 = ( 9 - ( 9 - 6 ) ) \cdot 9 \)
\(55 = 6 \cdot 9 + \frac{ 9 }{ 9 }\)
\(56 = \frac{ ( 9 - \frac{ 9 }{ 9 } )! }{ 6 ! }\)
\(57 = 69 - 9 - \sqrt{9 }\)
\(58 = ( \frac{ 6 }{ \sqrt{9} } )^{\sqrt{9}!} - \sqrt{9 }!\)
\(59 = \frac{ \frac{ 9! }{ 6! } }{ 9 } + \sqrt{9 }\)
\(60 = 69 - \sqrt{9 \cdot 9 }\)
\(61 = ( \frac{ 6 }{ \sqrt{9} } )^{\sqrt{9}!} - \sqrt{9 }\)
\(62 = \frac{ 6! }{ 9 } - 9 - 9 \)
\(63 = 69 - 9 + \sqrt{9 }\)
\(64 = ( \frac{ 9 + 9 }{ 9 } )^{6 }\)
\(65 = \frac{ \frac{ 9! }{ 6! } }{ 9 } + 9 \)
\(66 = \frac{ 99 \cdot 6 }{ 9 }\)
\(67 = 69 - \frac{ \sqrt{9}! }{ \sqrt{9 } }\)
\(68 = 69 - \frac{ 9 }{ 9 }\)
\(69 = 69 - 9 + 9 \)
\(70 = \frac{ 9 }{ 9 } + 69 \)
\(71 = \frac{ 6! - 9 \cdot 9 }{ 9 }\)
\(72 = \frac{ 9 }{ \sqrt{9} } + 69 \)
\(73 = ( \frac{ 6 }{ \sqrt{9} } )^{\sqrt{9}!} + 9 \)
\(74 = \frac{ 6! }{ 9 } - 9 + \sqrt{9 }\)
\(75 = 69 - \sqrt{9} + 9 \)
\(76 = \frac{ 6! - 9 }{ 9 } - \sqrt{9 }\)
\(77 = \frac{ 6! - \sqrt{9} \cdot 9 }{ 9 }\)
\(78 = 96 - 9 - 9 \)
\(79 = 9 \cdot 9 - \frac{ 6 }{ \sqrt{9 } }\)
\(80 = \frac{ ( 9 - ( 9 - 6 ) )! }{ 9 }\)
\(81 = 69 + \sqrt{9} + 9 \)
\(82 = \frac{ \sqrt{9}^{6} + 9 }{ 9 }\)
\(83 = \frac{ 6 }{ \sqrt{9} } + 9 \cdot 9 \)
\(84 = 99 - 6 - 9 \)
\(85 = \frac{ 6! - 9 }{ 9 } + \sqrt{9 }!\)
\(86 = \frac{ 6! }{ 9 } - \sqrt{9} + 9 \)
\(87 = 69 + 9 + 9 \)
\(88 = \frac{ 6! - 9 }{ 9 } + 9 \)
\(89 = \frac{ 9 \cdot 9 + 6! }{ 9 }\)
\(90 = 96 - 9 + \sqrt{9 }\)
\(91 = \frac{ 99 + 6! }{ 9 }\)
\(92 = \frac{ 6! }{ 9 } + \sqrt{9} + 9 \)
\(93 = 96 - \frac{ 9 }{ \sqrt{9 } }\)
\(94 = 96 - \frac{ \sqrt{9}! }{ \sqrt{9 } }\)
\(95 = 96 - \frac{ 9 }{ 9 }\)
\(96 = 96 - 9 + 9 \)
\(97 = \frac{ 9 }{ 9 } + 96 \)
\(98 = 99 - \frac{ 6 }{ \sqrt{9 }! }\)
\(99 = \frac{ 9 }{ \sqrt{9} } + 96 \)
\(100 = \frac{ 6 }{ \sqrt{9}! } + 99 \)