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A = 12 : {390 : [500 - (125 + 35.7)]}
A = 12 : {390 : [500 - (125 + 245)]}
A = 12 : {390 : [500 - 370]}
A = 12 : {390 : 130}
A = 12 : 3 = 4
B = 12000 - (1500 . 2 + 1800.3 + 1800.2 : 3)
B = 12000 - (3000 + 5400 + 1200)
B = 12000 - 9600 = 2400
C = \(\frac{11\cdot3^{22}\cdot3^7-9^{15}}{\left(2\cdot3^{14}\right)^2}=\frac{11\cdot3^{22}\cdot3^7-\left(3^2\right)^{15}}{2^2\cdot3^{28}}=\frac{11\cdot3^{29}-3^{30}}{2^2\cdot3^{28}}=\frac{11\cdot3\cdot3^{28}-3^2\cdot3^{28}}{2^2\cdot3^{28}}\)
\(=\frac{33\cdot3^{28}-9\cdot3^{28}}{4\cdot3^{28}}=\frac{\left(33-9\right)\cdot3^{28}}{4\cdot3^{28}}=\frac{24}{4}=6\)
a) A=(5016 +912).37:13:74
A=5928.37:(13.74)
A=219336: 962
A=228
b) B=[(315+372).(3+7)]:(338+1036)
B=(687.10):1374
B=6870:1374
B=5
\(27.332+93.43+57.61+69.57\\ =27.332+93.43+57.\left(61+69\right)\\ =27.332+93.43+57.130\\ =8964+3999+7410=20373\\ 34.75+75.66-65.100\\ =\left(34+66\right).75-65.100\\ =100.75-65.100\\ =100.\left(75-65\right)\\ =100.10=1000\\ \left(456.11+912\right).37:13:74\\ =5928:13:\left(74:37\right)\\ =456:2=228\\ 6^2:4.3+2.5^2\\ =36:4.3+2.25\\ =9.3+50=27+50=77\\ 5.4^2-18:3^2\\ =5.16-18:9\\ =80-2=78\\\left[\left(315+372\right).3+\left(372+315\right).7\right]:\left(26.13+74.14\right)\\ =687.\left(3+7\right):\left(338+1036\right)\\ 687.10:1374\\ =6870:1374=5\\ 12:\left\{390:\left[500-\left(125+35.7\right)\right]\right\}\\ =12:\left[390:\left(500-370\right)\right]\\ =12:\left(390:130\right)=12:3=4\\ 192000-\left(1500.2+1800.3+1800.2:3\right)\\ =192000-\left(3000+5400+1200\right)\\ =192000-9600=182400\)
a, 4 . 24 . 5 2 - 3 3 . 18 + 3 3 . 12
= 100.24–27.30
= 2400 – 810
= 1590
b, 2 3 . 7 . 5 3 - 5 2 . 65 + 5 2 . 35
= 7.1000 – 25.100
= 7000 – 2500
= 4500
c, 2 2 . 74 . 5 2 + 5 2 . 26 . 4 - 7000
= 100.74 + 100.26 – 70.100
= 100.(74+26–70)
= 100.30
= 3000
d, 55 . 2 2 . 5 + 4 . 89 . 5 2 - 3 2 . 10 3
= 25.4.11 + 4.25.89 – 90.100
= 100.11 + 100.89 – 100.90
= 100.(11+89–90)
= 100.10
= 1000
e, [(315+372).3+(372+315).7]:(26.13+74.13+74)
= [687.3+687.7]:(13.(26+74)+74)
= (687.10):(13.100+74)
= 6870:1374
= 5
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