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a) -35+40-15
=5-15
=-10
b) 8-(3-7)
=8-(-4)
=8+4
=12
c) (-5)-(9-12)
=-5-(-3)
=-2
d)7-(-9)-3
=7+9-3
=16-3
=13
e) (-3)+(8-11)
=-3+(-3)
=-6
g) -110-(-10)-35+85
=-100-35+85
=-135+85
=-50
h) [(-8)+(-7)]+(-10)
=-15+(-10)
=-25
i) -555-(-333)-100-80
=-555+333-100-80
=-222-100-80
=-322-80
=-402
k)-(-229)+(-219)-401+12
=229+(-219)-401+12
=10-401+12
=-391+12
=-379
l) -300-(+200)-(-120)-18
=-500+120-18
=-380-18
=-398
c: \(=\dfrac{4}{9}\left(\dfrac{5}{7}+\dfrac{2}{5}+\dfrac{2}{7}-\dfrac{7}{5}\right)=\dfrac{4}{9}\cdot\left(1-1\right)=0\)
d: \(=\dfrac{4-3-1}{12}\cdot\left(\dfrac{67}{111}+\dfrac{2}{33}-\dfrac{15}{117}\right)=0\cdot\left(\dfrac{67}{111}+\dfrac{2}{33}-\dfrac{15}{117}\right)=0\)
1. A - B = 40+ 3/8 + 7/82 + 5/83 + 32/85 - (24/82 + 40+ 5/82 + 40/84 + 5/84 )
= 40.85/85 + 3.84/85 + 7.83/85 + 5.82/85 + 32/85 - 24.83/85 - 40.85/85 - 5.83/85 - 40.8/85 - 5.8/85
= 40.85/85 + 24.83/85 + 7.83/85 + 5.82/85 + 32/85 - 24.83/85 - 40.85/85 - 5.83/85 - 40.8/85 - 5.8/85
= 7.83/85 + 5.82/85 + 32/85 - 5.83/85 - 40.8/85 - 5.8/85
= 7.83/85 + 5.82/85 -8/85 - 5.83/85 - 40.8/85
= 2.83/85 + 5.82/85 - 40.8/85 - 8/85
= 2.83/85 + 40.8/85 - 40.8/85 - 8/85
= 2.83/85 - 8/85 > 0
Vay A > B
a,9.3.4.25
= 27.100
= 2700
b, 12.125.54
= 3.4.125.54
= 125.4.3.54
= 500.162
= 81000
c: \(=72\cdot14+72\cdot7+72\cdot19=72\cdot40=2880\)
d: \(=1700\cdot7-1700\cdot6=1700\)
e: Số số hạng là (65-1)/4+1=17(số)
Tổng là: \(\dfrac{65+1}{2}\cdot17=33\cdot17=561\)
a) \(4^8\cdot4^4=\left(2^2\right)^8\cdot\left(2^2\right)^4=2^{16}\cdot2^8=2^{16+8}=2^{24}\)
b) \(5^{12}\cdot7-5^{11}\cdot10\)
\(=5^{11}\cdot\left(5\cdot7-10\right)=5^{11}\cdot\left(35-10\right)=5^{11}\cdot25\)
\(=5^{11}\cdot5^2=5^{11+2}=5^{13}\)
d) \(27^{16}:9^{10}\)
\(=\left(3^3\right)^{16}:\left(3^2\right)^{10}=3^{48}:3^{20}=3^{48-20}=3^{28}\)
e) \(125^3:25^4=\left(5^3\right)^3:\left(5^2\right)^4=5^9:5^8=5^{9-8}=5\)
f) \(24^4:3^4-32^{12}:16^{12}\)
\(=\left(24:4\right)^4-\left(32:16\right)^{12}\)
\(=6^4-2^{12}\)
\(=2^4\cdot\left(3^4-2^8\right)=2^4\cdot-175=-2800\)