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A = ( 6888 : 56 - 112 ) . 152 _ 13 . 72 + 13 . 28
A = ( 123 - 121 ) . 152 - 13 . ( 72 + 28 )
A = 2 . 152 - 13 . 100
A = 13.100 - 304
A = 1300 - 304
A = 996
a)= \(2^3\left(17-14\right)\)
\(=8.3\)
\(=24\)
b)\(=17\left(85+15\right)-120\)
\(=17.100-120\)
\(=1700-120\)
\(=1580\)
c)\(=\left(25.4\right).\left(125.8\right).\left(2.5\right)\)
\(=100.1000.10\)
\(=1000000\)
d)\(=24.53+24.87-24.40\)
\(=24\left(53+87-40\right)\)
\(=24.100\)
\(=2400\)
e)\(=5.7.77-7.60-7.7.25-15.6.7\)
\(=7\left(5.77-60-7.25-15.6\right)\)
\(=7\left(385-60-175-90\right)\)
\(=7.60\)
\(=420\)
a, [ 13-17 ].[-10]+[-7]0
=-4.[-10]+1
=40+1
=41
b, 72.[28-49] + 28.[-49-72]
=72.[-21]+28.[-121]
=-1512+[-3388]
=-4900
c, -65.[87-17] - 87.[17-65]
=-65.70-87.[-48]
=4550-[-4276]
=8726
d, -23.63+23.21-58.23
=23.(-63)+23.21-58.23
=23.(-63+23-58)
=23.(-40-58)
=23.(-98)
=-2254
e, 25.134+25.[-34]
=25.[134+(-34)]
=25.100
=2500
a) (217+172)(915-315)(24-42) = (217+172)(915-315)(16-16) = (217+172)(915-315)(0-0) = (217+172)(915-315).0 =0
b) (82017-82015) : ( 82104 . 8 ) = \(\frac{2}{82104\cdot8}=\frac{1}{82104\cdot4}\)
A/ 25.7.5.4.2=(25.4).(5.2).7=100.10.7=1000.7=7000
B/17.75+17.25-125=17.(75+25)-125=17.100-125=1700-125=1575
d) 21 . 16 + 37 . 21 + 21 . 63
= 21 . (16 + 37 + 63)
= 21 . 116
= 2436
e) -23 + 13 + (-17) + 57
= (-23 + 13) + (-17 + 57)
= -10 + 40
= 30
a) \(\frac{2^{47}\cdot5^{14}\cdot18^{13}\cdot45^{17}}{180^{30}}\)
=\(\frac{2^{47}\cdot5^{14}\cdot2^{13}\cdot3^{26}\cdot3^{34}\cdot5^{17}}{2^{60}\cdot3^{60}\cdot5^{30}}\)
=\(\frac{2^{60}\cdot3^{60}\cdot5^{31}}{2^{60}\cdot3^{60}\cdot5^{30}}\)
=\(\frac{5^{31}}{5^{30}}=5\)
=703-2-289=703-291=412