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Bài 3:
4; 45 + 5\(x\) = 10\(^3\): 10
45 + 5\(x\) = 100
5\(x\) = 100 - 45
5\(x\) = 55
\(x\) = 55 : 5
\(x\) = 11
Vậy \(x=11\)
5; 4\(x\) - 20 = 2\(^5\) : 2\(^2\)
4\(x\) - 20 = 2\(^3\)
4\(x\) = 8 + 20
4\(x\) = 28
\(x\) = 28 : 4
\(x=7\)
Vậy \(x=7\)
Bài 4:
1; 82 - (25 + 4\(x^{}\)) = 17
25 + 4\(x\) \(^{}\) = 82 - 17
4\(x^{}\) = 65 - 25
4\(x^{}\) = 40
\(x=40:4\)
\(x\) = 10
Vậy \(x=10\)
2; 71 - (24 + 3\(x\)) = 24
24 + 3\(x\) = 71 - 24
24 + 3\(x\) = 47
3\(x\) = 47 - 24
3\(x\) = 23
\(x\) = 23 : 3
Vậy \(x=\frac{23}{3}\)
3; 145 - (125 + \(x\)) = 12
125 + \(x\) = 145 - 12
125 + \(x\) = 133
\(x\) = 133 - 125
\(x\) = 8
Vậy \(x=8\)

c: \(\left(x-1\right)^3=\left(-9\right)^3\)
=>x-1=-9
=>x=-9+1=-8
f: \(3x-2^3=7+\left(-9\right)\)
=>3x-8=7-9=-2
=>3x=-2+8=6
=>x=2

a: \(640=2^7\cdot5;1440=2^5\cdot3^2\cdot5\)
=>ƯCLN(640;1440)\(=2^5\cdot5=32\cdot5=160\)
640⋮a; 1440⋮a
=>a∈ ƯC(640;1440)
mà a lớn nhất
nên a=ƯCLN(640;1440)=160
b: \(450=2\cdot3^2\cdot5^2;210=2\cdot3\cdot5\cdot7\)
=>ƯCLN(450;210)\(=2\cdot3\cdot5=30\)
450⋮a; 210⋮a
=>a∈ ƯC(450;210)
mà a lớn nhất
nên a=ƯCLN(450;210)=30
c: \(128=2^7;210=2\cdot3\cdot5\cdot7\)
=>ƯCLN(128;210)=2
128⋮a; 210⋮a
=>a∈ ƯC(128;210)
=>a∈ Ư(2)
mà 6<a<15
nên a∈∅
d: \(2350=2\cdot5^2\cdot47;1260=2^2\cdot3^2\cdot5\cdot7\)
=>ƯCLN(2350;1260)=\(2\cdot5=10\)
2350⋮a; 1260⋮a
=>a ∈ƯC(2350;1260)
=>a∈ Ư(10)
mà 80<a<140
nên a∈∅
e: \(112=2^4\cdot7;140=2^2\cdot5\cdot7\)
=>ƯCLN(112;140)\(=2^2\cdot7=28\)
112⋮a; 140⋮a
=>a ∈ƯC(112;140)
=>a∈ Ư(28)
mà 10<a<20
nên a=14
f: \(144=2^4\cdot3^2;192=2^6\cdot3\)
=>ƯCLN(144;192)\(=2^4\cdot3=16\cdot3=48\)
144⋮a; 192⋮a
=>a∈ ƯC(144;192)
=>a∈ Ư(48)
mà a<20
nên a∈{1;2;3;4;6;8;12;16}
g: \(420=2^2\cdot3\cdot5\cdot7;700=2^2\cdot5^2\cdot7\)
=>ƯCLN(420;700)\(=2^2\cdot5\cdot7=4\cdot5\cdot7=20\cdot7=140\)
420⋮a; 700⋮a
=>a∈ ƯC(420;700)
=>a∈ Ư(140)
mà a lớn nhất
nên a=140

bài 14:
\(a.\left(x-1\right)\cdot100=0\)
\(x-1=0\Rightarrow x=1\)
\(b.200-11x=24\)
\(11x=200-24\)
\(11x=176\)
\(x=\frac{176}{11}=16\)
\(c.165:\left(2x+1\right)=15\) (đkxđ: x khác \(-\frac12)\)
\(2x+1=\frac{165}{15}=11\)
\(2x=11-1=10\)
\(x=\frac{10}{2}=5\)
\(d.375:\left(45-4x\right)=15\) (đkxđ: \(x\ne\frac{45}{4})\)
\(45-4x=\frac{375}{15}=25\)
\(4x=45-25=20\)
\(x=20:4=5\)
bài 15:
giá tiền 125 chiếc điện thoại là:
125 x 2350000=293750000 (đồng)
giá tiền 250 chiếc máy tính bảng là:
250 x 4950000 = 1237500000 (đồng)
tổng số tiền mà cửa hàng phải trả cho số điện thoại và máy tính trên là:
293750000 + 1237500000 = 1531250000 (đồng)
đáp số: 1531250000 đồng

Bài 5:
a: \(37\cdot146+46\cdot2-46\cdot37\)
\(=37\left(146-46\right)+46\cdot2\)
\(=37\cdot100+92=3700+92=3792\)
b: \(2\cdot5\cdot71+5\cdot18\cdot2+10\cdot11\)
\(=10\cdot71+10\cdot18+10\cdot11\)
\(=10\left(71+18+11\right)=10\cdot100=1000\)
c: \(135+360+65+40\)
=135+65+360+40
=200+400
=600
d: \(27\cdot75+25\cdot27-450\)
\(=27\left(75+25\right)-450\)
=2700-450
=2250
Bài 4:
a: \(32\cdot163+32\cdot837\)
\(=32\cdot\left(163+837\right)\)
\(=32\cdot1000=32000\)
b: \(2\cdot3\cdot4\cdot5\cdot25=2\cdot5\cdot4\cdot25\cdot3=3\cdot10\cdot100=3000\)
c: \(25\cdot27\cdot4=27\cdot100=2700\)
Bài 3:
a: \(128\cdot19+128\cdot41+128\cdot40\)
\(=128\cdot\left(19+41+40\right)=128\cdot100=12800\)
b: \(375+693+625+307\)
=375+625+693+307
=1000+1000
=2000
c: \(37+42-37+22\)
=37-37+42+22
=0+64
=64
d: \(21\cdot32+21\cdot68\)
\(=21\cdot\left(32+68\right)=21\cdot100=2100\)
Bài 2:
a: \(17\cdot85+15\cdot17-120\)
\(=17\left(85+15\right)-120\)
=1700-120
=1580
b: \(189+73+211+127\)
=189+211+73+127
=400+200
=600
c: \(38\cdot73+27\cdot38\)
\(=38\left(73+27\right)=38\cdot100=3800\)
Bài 1:
a: \(28\cdot76+23\cdot28-28\cdot13\)
\(=28\left(76+23-13\right)=28\cdot86=2408\)
b: \(39\cdot50+25\cdot39+75\cdot61\)
\(=39\left(50+25\right)+75\cdot61\)
\(=39\cdot75+75\cdot61=75\left(39+61\right)=75\cdot100=7500\)
c: \(32\cdot163+837\cdot32\)
\(=32\left(163+837\right)=32\cdot1000=32000\)
d: \(63+118+37+82\)
=63+37+118+82
=100+200
=300

20.
a.
\(4^{n}=256\)
\(4^{n}=4^4\)
\(n=4\)
b.
\(9^{5n-8}=81\)
\(9^{5n-8}=9^2\)
5n-8=2
5n=10
n=2
c.
\(3^{n+2}:27=3\)
\(3^{n+2}=27.3\)
\(3^{n+2}=81\)
\(3^{n+2}=3^4\)
n+2=4
n=2
d.
\(8^{n+2}.2^3=8^5\)
\(8^{n+2}=8^5:2^3\)
\(8^{n+2}=8^4\)
n+2=4
n=2
21.
a.
\(30-2x^2=12\)
\(2x^2=30-12\)
\(2x^2=18\)
\(x^2=18:2=9\)
\(x^2=3^2\)
\(x=\pm3\)
b.
\(\left(9-2x\right)^3=125\)
\(\left(9-2x\right)^3=5^3\)
\(9-2x=5\)
2x=9-5=4
x=2
c.
\(\left(2x-2\right)^4=0\)
2x-2=0
2x=2
x=1
d.
\(\left(x+5\right)^3=\left(2x\right)^3\)
x+5=2x
2x-x=5
x=5
Bài 1:
\(A=-\frac25+\frac34\cdot\frac29\)
\(=-\frac25+\frac{6}{36}\)
\(=-\frac25+\frac16=-\frac{12}{30}+\frac{5}{30}=-\frac{7}{30}\)
\(B=\frac38\cdot\frac{-13}{15}-\frac38\cdot\frac{2}{15}+1\frac12\)
\(=\frac38\left(-\frac{13}{15}-\frac{2}{15}\right)+\frac32\)
\(=-\frac38+\frac32=-\frac38+\frac{12}{8}=\frac98\)
\(C=-\frac78+\frac{9}{10}\cdot\frac23\)
\(=-\frac78+\frac93\cdot\frac{2}{10}\)
\(=-\frac78+\frac35=-\frac{35}{40}+\frac{24}{40}=-\frac{11}{40}\)
\(D=\frac{5}{11}\cdot\frac{-17}{31}-\frac{5}{11}\cdot\frac{14}{31}+1\frac12\)
\(=-\frac{5}{11}\left(\frac{17}{31}+\frac{14}{31}\right)+\frac32\)
\(=-\frac{5}{11}+\frac32=-\frac{10}{22}+\frac{33}{22}=\frac{23}{22}\)
Bài 2:
a: \(\frac65-\frac15\cdot\frac{10}{3}\)
\(=\frac65-\frac{10}{5}\cdot\frac13=\frac65-\frac23\)
\(=\frac{18}{15}-\frac{10}{15}=\frac{8}{15}\)
b: \(\frac{11}{24}-\frac{5}{41}+\frac{13}{24}+0,5-\frac{36}{41}\)
\(=\left(\frac{11}{24}+\frac{13}{24}\right)-\left(\frac{5}{41}+\frac{36}{41}\right)+0,5\)
\(=1-1+0,5=0,5\)
c: \(\frac12\cdot\frac{-3}{4}+\frac12\cdot\frac{-1}{4}+\frac23\)
\(=\frac12\left(-\frac34-\frac14\right)+\frac23\)
\(=-\frac12+\frac23=-\frac36+\frac46=\frac16\)
d: \(\frac13\cdot\frac{-5}{6}+\frac13\cdot\frac{-1}{6}+\frac12\)
\(=\frac13\left(-\frac56-\frac16\right)+\frac12\)
\(=-\frac13+\frac12=\frac16\)
Bài 3:
a: \(\frac{6}{x-7}=\frac{-3}{7}\)
=>\(\frac{6}{x-7}=\frac{-6}{14}\)
=>x-7=-14
=>x=-14+7=-7
b: \(-\frac35-x=\frac12\)
=>\(x=-\frac35-\frac12=-\frac{6}{10}-\frac{5}{10}=-\frac{11}{10}\)
c: \(x-\frac{3}{10}=\frac{7}{15}\cdot\frac{3}{14}\)
=>\(x-\frac{3}{10}=\frac{7}{14}\cdot\frac{3}{15}=\frac12\cdot\frac15=\frac{1}{10}\)
=>\(x=\frac{1}{10}+\frac{3}{10}=\frac{4}{10}=\frac25\)
d: \(\frac{5}{14}-x=-\frac{17}{36}:\frac{51}{18}\)
=>\(\frac{5}{14}-x=-\frac{17}{36}\cdot\frac{18}{51}=-\frac{17}{51}\cdot\frac{18}{36}\)
=>\(\frac{5}{14}-x=-\frac13\cdot\frac12=-\frac16\)
=>\(x=\frac{5}{14}+\frac16=\frac{15}{42}+\frac{7}{42}=\frac{22}{42}=\frac{11}{21}\)
e: \(-\frac34x+\frac14\left(x-1\right)=-\frac{12}{5}\)
=>\(-\frac34x+\frac14x-\frac14=-\frac{12}{5}\)
=>\(-\frac24x=-\frac{12}{5}+\frac14=-\frac{48}{20}+\frac{5}{20}=-\frac{43}{20}\)
=>\(\frac{x}{2}=\frac{43}{20}\)
=>\(x=\frac{43}{20}\cdot2=\frac{43}{10}\)
f: \(\left(2x-\frac49\right)\left(3-11x\right)=0\)
=>\(\left[\begin{array}{l}2x-\frac49=0\\ 3-11x=0\end{array}\right.\Rightarrow\left[\begin{array}{l}2x=\frac49\\ 11x=3\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac49:2=\frac29\\ x=\frac{3}{11}\end{array}\right.\)
bài 6 làm như thế nào hả các bạn