1699

\(1 = 16^{9 - 9 }\) \(2 = 9 - ( 16 - 9 )\) \(3 = \sqrt{16 \cdot 9} - 9 \) \(4 = \sqrt{169} - 9 \)
\(5 = 96 - 91 \) \(6 = 9 - ( 9 - 1 \cdot 6 )\) \(7 = 16 - \sqrt{9 \cdot 9 }\) \(8 = \sqrt{196} - \sqrt{9 }!\)
\(9 = ( 1^{6} )^{9} \cdot 9 \) \(10 = \sqrt{169} - \sqrt{9 }\) \(11 = \sqrt{196} - \sqrt{9 }\) \(12 = \frac{ 96 }{ 9 - 1 }\)
\(13 = 16 - \frac{ 9 }{ \sqrt{9 } }\) \(14 = 9 - \sqrt{16} + 9 \) \(15 = 16 - \frac{ 9 }{ 9 }\) \(16 = 16 - 9 + 9 \)
\(17 = \frac{ 9 }{ 9 } + 16 \) \(18 = ( 9 - ( 1 + 6 ) ) \cdot 9 \) \(19 = \frac{ 9 }{ \sqrt{9} } + 16 \) \(20 = 9 \cdot 9 - 61 \)
\(21 = ( 16 - 9 ) \cdot \sqrt{9 }\) \(22 = 91 - 69 \) \(23 = \sqrt{196} + 9 \) \(24 = ( \sqrt{169} - 9 )!\)
\(25 = \sqrt{9 \cdot 9} + 16 \) \(26 = ( 9 - 6 ) \cdot 9 - 1 \) \(27 = \sqrt{16} \cdot 9 - 9 \) \(28 = \sqrt{961} - \sqrt{9 }\)
\(29 = \sqrt{9}!! - 691 \) \(30 = ( 1 + 9 ) \cdot ( 9 - 6 )\) \(31 = \frac{ 96 }{ \sqrt{9} } - 1 \) \(32 = \frac{ 96 \cdot 1 }{ \sqrt{9 } }\)
\(33 = \frac{ 96 }{ \sqrt{9} } + 1 \) \(34 = 16 + 9 + 9 \) \(35 = 6 \cdot 9 - 19 \) \(36 = \sqrt{16 \cdot 9 \cdot 9 }\)
\(37 = 91 - 6 \cdot 9 \) \(38 = 99 - 61 \) \(39 = \sqrt{169 \cdot 9 }\) \(40 = \sqrt{961} + 9 \)
\(41 = \sqrt{961 + \sqrt{9 }!!}\) \(42 = \sqrt{196 \cdot 9 }\) \(43 = 61 - 9 - 9 \) \(44 = 6 \cdot 9 - 1 - 9 \)
\(45 = ( 9 - \sqrt{16} ) \cdot 9 \) \(46 = 6 \cdot 9 + 1 - 9 \) \(47 = 6 \cdot 9 - 1 - \sqrt{9 }!\) \(48 = \frac{ 16 \cdot 9 }{ \sqrt{9 } }\)
\(49 = 61 - 9 - \sqrt{9 }\) \(50 = 69 - 19 \) \(51 = 19 \cdot \sqrt{9} - 6 \) \(52 = 61 - \sqrt{9 \cdot 9 }\)
\(53 = 6 \cdot 9 - 1^{9 }\) \(54 = 1^{9} \cdot 6 \cdot 9 \) \(55 = 61 - 9 + \sqrt{9 }\) \(56 = 6 \cdot 9 - 1 + \sqrt{9 }\)
\(57 = ( 9 - 6 ) \cdot 19 \) \(58 = 61 - \frac{ 9 }{ \sqrt{9 } }\) \(59 = 69 - 1 - 9 \) \(60 = ( 19 - 9 ) \cdot 6 \)
\(61 = 61 - 9 + 9 \) \(62 = \frac{ 9 }{ 9 } + 61 \) \(63 = ( 16 - 9 ) \cdot 9 \) \(64 = \frac{ 9 }{ \sqrt{9} } + 61 \)
\(65 = 9 \cdot 9 - 16 \) \(66 = 69 \cdot 1 - \sqrt{9 }\) \(67 = 61 - \sqrt{9} + 9 \) \(68 = 69 - 1^{9 }\)
\(69 = 1^{9} \cdot 69 \) \(70 = 1^{9} + 69 \) \(71 = 69 - 1 + \sqrt{9 }\) \(72 = ( 9 + 9 ) \cdot \sqrt{16 }\)
\(73 = 6 \cdot 9 + 19 \) \(74 = 9 \cdot 9 - 1 - 6 \) \(75 = 99 - \sqrt{16 }!\) \(76 = 91 - 6 - 9 \)
\(77 = 96 - 19 \) \(78 = 69 \cdot 1 + 9 \) \(79 = 61 + 9 + 9 \) \(80 = 9 \cdot 9 - 1^{6 }\)
\(81 = 9^{9 - ( 1 + 6 )}\) \(82 = 91 - 6 - \sqrt{9 }\) \(83 = 99 - 16 \) \(84 = \sqrt{196} \cdot \sqrt{9 }!\)
\(85 = 9 \cdot 9 + \sqrt{16 }\) \(86 = 96 - 1 - 9 \) \(87 = 96 \cdot 1 - 9 \) \(88 = 19 + 69 \)
\(89 = 91 - \frac{ 6 }{ \sqrt{9 } }\) \(90 = ( 1^{6} + 9 ) \cdot 9 \) \(91 = 91 - 6 + \sqrt{9 }!\) \(92 = 99 - 1 - 6 \)
\(93 = \sqrt{961 \cdot 9 }\) \(94 = 91 - 6 + 9 \) \(95 = 99 - \sqrt{16 }\) \(96 = 1^{9} \cdot 96 \)
\(97 = 9 \cdot 9 + 16 \) \(98 = 99 - 1^{6 }\) \(99 = 1^{6} \cdot 99 \) \(100 = 1^{6} + 99 \)