All 100 targets have a solution.
\(1 = ( 799 \cdot 0 )!\)
\(2 = \sqrt{9} - 79^{0 }\)
\(3 = \frac{ 90 }{ 9 } - 7 \)
\(4 = 79^{0} + \sqrt{9 }\)
\(5 = \sqrt{9}! - 79^{0 }\)
\(6 = 7 - 99^{0 }\)
\(7 = 97 - 90 \)
\(8 = 9 - 79^{0 }\)
\(9 = 79 \cdot 0 + 9 \)
\(10 = 79^{0} + 9 \)
\(11 = 90 - 79 \)
\(12 = \frac{ 90 - \sqrt{9}! }{ 7 }\)
\(13 = \sqrt{70 + 99 }\)
\(14 = \frac{ 99 - 0! }{ 7 }\)
\(15 = 7 - 9^{0} + 9 \)
\(16 = \sqrt{90 - 9} + 7 \)
\(17 = \frac{ 90 }{ 9 } + 7 \)
\(18 = ( 9 - ( 0 + 7 ) ) \cdot 9 \)
\(19 = 7^{0} + 9 + 9 \)
\(20 = ( 0 + \sqrt{9} ) \cdot 9 - 7 \)
\(21 = \sqrt{\sqrt{90 - 9}} \cdot 7 \)
\(22 = \frac{ 90 }{ \sqrt{9}! } + 7 \)
\(23 = \frac{ 90 }{ \sqrt{9} } - 7 \)
\(24 = \sqrt{\frac{ 9! }{ 70 \cdot 9 }}\)
\(25 = 0 + 7 + 9 + 9 \)
\(26 = \frac{ 79 - 0! }{ \sqrt{9 } }\)
\(27 = 90 - 7 \cdot 9 \)
\(28 = \sqrt{790 - \sqrt{9 }!}\)
\(29 = 99 - 70 \)
\(30 = \sqrt{( 7 + \sqrt{9} ) \cdot 90 }\)
\(31 = \sqrt{970 - 9 }\)
\(32 = \frac{ 97 - 0! }{ \sqrt{9 } }\)
\(33 = ( 7^{0} + \sqrt{9} )! + 9 \)
\(34 = ( 0 + \sqrt{9} ) \cdot 9 + 7 \)
\(35 = \frac{ 70 \cdot \sqrt{9} }{ \sqrt{9 }! }\)
\(36 = ( 7^{0} + \sqrt{9} ) \cdot 9 \)
\(37 = \frac{ 90 }{ \sqrt{9} } + 7 \)
\(38 = \frac{ 7^{\sqrt{9}} - 0! }{ 9 }\)
\(39 = ( 0 + 7 + \sqrt{9}! ) \cdot \sqrt{9 }\)
\(40 = 7^{\sqrt{9} - 0!} - 9 \)
\(41 = ( 9 - \sqrt{9} ) \cdot 7 - 0 !\)
\(42 = ( 9 - ( 0 + \sqrt{9} ) ) \cdot 7 \)
\(43 = 70 - \sqrt{9} \cdot 9 \)
\(44 = ( \sqrt{9}! - 0! ) \cdot 7 + 9 \)
\(45 = \frac{ 90 }{ 9 - 7 }\)
\(46 = 7^{\sqrt{9} - 0!} - \sqrt{9 }\)
\(47 = \frac{ 7! }{ 90 } - 9 \)
\(48 = 90 - 7 \cdot \sqrt{9 }!\)
\(49 = 7^{\sqrt{9} - 9^{0 }}\)
\(50 = \frac{ 7! }{ 90 } - \sqrt{9 }!\)
\(51 = ( 0! + 7 + 9 ) \cdot \sqrt{9 }\)
\(52 = 70 - 9 - 9 \)
\(53 = \frac{ 7! }{ 90 } - \sqrt{9 }\)
\(54 = ( 7 - 9^{0} ) \cdot 9 \)
\(55 = 70 - 9 - \sqrt{9 }!\)
\(56 = ( 9 - 9^{0} ) \cdot 7 \)
\(57 = ( 7 - 0! ) \cdot 9 + \sqrt{9 }\)
\(58 = 70 - 9 - \sqrt{9 }\)
\(59 = \frac{ 7! }{ 90 } + \sqrt{9 }\)
\(60 = ( 0 + 7 ) \cdot 9 - \sqrt{9 }\)
\(61 = 70 - \sqrt{9 \cdot 9 }\)
\(62 = 7 \cdot 9 - 9^{0 }\)
\(63 = \sqrt{90 - 9} \cdot 7 \)
\(64 = 70 - 9 + \sqrt{9 }\)
\(65 = \frac{ 7! }{ 90 } + 9 \)
\(66 = 90 - ( 7 - \sqrt{9 } )!\)
\(67 = 70 - \frac{ 9 }{ \sqrt{9 } }\)
\(68 = 70 - \frac{ \sqrt{9}! }{ \sqrt{9 } }\)
\(69 = 70 - \frac{ 9 }{ 9 }\)
\(70 = 70 - 9 + 9 \)
\(71 = \frac{ 9 }{ 9 } + 70 \)
\(72 = ( 9 - 7^{0} ) \cdot 9 \)
\(73 = \frac{ 9 }{ \sqrt{9} } + 70 \)
\(74 = 90 - 7 - 9 \)
\(75 = 79 - 0! - \sqrt{9 }\)
\(76 = 70 - \sqrt{9} + 9 \)
\(77 = 79 + 0! - \sqrt{9 }\)
\(78 = 79 - 9^{0 }\)
\(79 = 0 \cdot 9 + 79 \)
\(80 = 9^{0} + 79 \)
\(81 = 9^{9 - ( 0 + 7 )}\)
\(82 = 70 + \sqrt{9} + 9 \)
\(83 = 79 + 0! + \sqrt{9 }\)
\(84 = ( 0 + \sqrt{9} + 9 ) \cdot 7 \)
\(85 = 70 + \sqrt{9}! + 9 \)
\(86 = 90 - 7 + \sqrt{9 }\)
\(87 = 79 - 0! + 9 \)
\(88 = 70 + 9 + 9 \)
\(89 = 79 + 0! + 9 \)
\(90 = \sqrt{90^{9 - 7 }}\)
\(91 = 99 - 0! - 7 \)
\(92 = 90 - 7 + 9 \)
\(93 = 99 + 0! - 7 \)
\(94 = 90 + 7 - \sqrt{9 }\)
\(95 = 97 + 0! - \sqrt{9 }\)
\(96 = 97 - 9^{0 }\)
\(97 = 0 \cdot 9 + 97 \)
\(98 = 9^{0} + 97 \)
\(99 = 0 \cdot 7 + 99 \)
\(100 = 7^{0} + 99 \)