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a) 11070 : {15 . [ 356 – ( 2110 – 2000 )]}
= 11070 : [15(356 – 110)] = 11070 : 3690 = 3
b) 62500 : { 50 2 : [ 112 – ( 52 – 2 3 . 5 )]}
= 62500 : { 2500 : [ 112 – ( 52 – 40 )]}
= 62500 : { 2500 : [ 112 – 12 ]}
= 62500 : { 2500 : 100 }
= 62500 : 25
= 2500
c) 3 3 . 5 3 – 20 . { 300 – [ 540 – 2 3 ( 7 8 : 7 6 + 7 0 )]}
= 3 3 . 5 3 – 20 . {300 – [ 540 – 2 3 (72 + 1 )]
= 3 3 . 5 3 – 20 . [ 300 – (540 - 8 . 50)
= 27 . 125 – 20 . [300 – ( 540 - 400 )]
= 3375 – 20 . ( 300 – 140 )
= 3375 – 20 . 160
= 3375 – 3200
= 175
c) 3 3 . 5 3 – 20 . { 300 – [ 540 – 2 3 ( 7 8 : 7 6 + 7 0 )]}
= 3 3 . 5 3 – 20 . {300 – [ 540 – 2 3 ( 7 2 + 1 )]
= 3 3 . 5 3 – 20 . [ 300 – (540 - 8 . 50)
= 27 . 125 – 20 . [300 – ( 540 - 400 )]
= 3375 – 20 . ( 300 – 140 )
= 3375 – 20 . 160
= 3375 – 3200
= 175
a ) x = − 91 60 . b ) x = − 8 9 . c ) x = 35 19 . d ) x = 3 7 .
\(2^3\cdot5^3-3\left\{400-\left[673-2^3(7^8:7^6+7^0)\right]\right\}\)
\(=8\cdot125-3\left\{400-\left[673-8(7^{8-6}+7^0)\right]\right\}\)
\(=8\cdot125-3\left\{400-\left[673-8(7^2+7^0)\right]\right\}\)
\(=8\cdot125-3\left\{400-\left[673-8(49+1)\right]\right\}\)
\(=8\cdot125-3\left\{400-\left[673-8\cdot50\right]\right\}\)
\(=8\cdot125-3\left\{400-\left[673-400\right]\right\}\)
\(=8\cdot125-3\left\{400-273\right\}\)
\(=8\cdot125-3\cdot127\)
\(=619\)
\(2^3.5^3-3\left\{400-\left[673-2^3\left(7^8:7^6+7^0\right)\right]\right\}\)
\(=8.125-3\left\{400-\left[673-8\left(49+1\right)\right]\right\}\)
\(=1000-3\left\{400-\left[673-8.50\right]\right\}\)
\(=1000-3\left\{400-\left[673-400\right]\right\}\)
\(=1000-3\left\{400-273\right\}\)
\(=1000-3.\left(127\right)\)
\(=1000-381\)
\(=619\)