7999

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