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8 tháng 8 2016
\(\left[5^3\left(3x+2\right)\right]:13=5^5:\left(13^5:13^4\right)\)
\(\left[5^3\left(3x+2\right)\right]:13=5^5:13\)
\(5^3\left(3x+2\right)=5^5:13.13\)
\(5^3\left(3x+2\right)=5^5\)
\(3x+2=5^5:5^3\)
\(3x+2=25\)
\(3x=25-2\)
\(3x=23\)
\(\Rightarrow x=\frac{23}{3}\)
19 tháng 11 2016
\(5^3\left(3x+2\right)\div13=10^3\div\left(13^5\div13^4\right)\)
\(\Rightarrow125\left(3x+2\right)\div13=1000\div13\)
\(\Rightarrow125\left(3x+2\right)=1000\)
\(\Rightarrow3x+2=1000\div125\)
\(\Rightarrow3x+2=8\)
\(\Rightarrow3x=8-2\)
\(\Rightarrow3x=6\Rightarrow x=6\div3\Rightarrow x=2\)
Vậy : x = 2
18 tháng 4 2023
\(1,-\dfrac{4}{7}+\dfrac{2}{3}\times\dfrac{-9}{14}\)
\(=\dfrac{-4}{7}+\dfrac{-18}{42}\)
\(=\dfrac{-4\times6}{7\times6}+\dfrac{-18}{42}\)
\(=\dfrac{-20}{42}+\dfrac{-18}{42}\)
\(=-\dfrac{38}{42}\)
\(=-\dfrac{19}{21}\)
\(2,\dfrac{17}{13}-\left(\dfrac{4}{13}-11\right)\)
\(=\dfrac{17}{13}-\dfrac{4}{13}+11\)
\(=\dfrac{13}{13}+11\)
\(=1+11\)
\(=12\)
\(3,8\dfrac{2}{7}-\left(3\dfrac{4}{9}+4\dfrac{2}{7}\right)\)
\(=\dfrac{58}{7}-\left(\dfrac{31}{9}+\dfrac{30}{7}\right)\)
\(=\dfrac{58}{7}-\dfrac{31}{9}-\dfrac{30}{7}\)
\(=\dfrac{58}{7}-\dfrac{30}{7}-\dfrac{31}{9}\)
\(=\dfrac{28}{7}-\dfrac{31}{9}\)
\(=\dfrac{28\times9}{7\times9}-\dfrac{31\times7}{9\times7}\)
\(=\dfrac{252}{63}-\dfrac{217}{63}\)
\(=\dfrac{35}{63}\)
\(=\dfrac{5}{9}\)
\(5,\left(\dfrac{2}{3}-1\dfrac{1}{2}\right):\dfrac{4}{3}+\dfrac{1}{2}\)
\(=\left(\dfrac{2}{3}-\dfrac{3}{2}\right):\dfrac{4}{3}+\dfrac{1}{2}\)
\(=\left(\dfrac{2\times2}{3\times2}-\dfrac{3\times3}{2\times3}\right):\dfrac{4}{3}+\dfrac{1}{2}\)
\(=\left(\dfrac{4}{6}-\dfrac{9}{6}\right):\dfrac{4}{3}+\dfrac{1}{2}\)
\(=\dfrac{-5}{6}:\dfrac{4}{3}+\dfrac{1}{2}\)
\(=\dfrac{-5}{6}\times\dfrac{3}{4}+\dfrac{1}{2}\)
\(=\dfrac{-15}{24}+\dfrac{1}{2}\)
\(=\dfrac{-15}{24}+\dfrac{1\times12}{2\times12}\)
\(=\dfrac{-15}{24}+\dfrac{12}{24}\)
\(=\dfrac{-3}{24}\)
\(=-\dfrac{1}{8}\)
\(6,\dfrac{-5}{13}+\dfrac{2}{5}+\dfrac{-8}{13}+\dfrac{3}{5}-\dfrac{3}{7}\)
\(=\left(\dfrac{-5}{13}+\dfrac{-8}{13}\right)+\left(\dfrac{2}{5}+\dfrac{3}{5}\right)-\dfrac{3}{7}\)
\(=\dfrac{-13}{13}+\dfrac{5}{5}-\dfrac{3}{7}\)
\(=-1+1-\dfrac{3}{7}\)
\(=-\dfrac{3}{7}\)
\(7,\dfrac{6}{5}\times\dfrac{3}{7}+\dfrac{6}{5}:\dfrac{7}{10}+\dfrac{6}{5}\)
\(=\dfrac{6}{5}\times\dfrac{3}{7}+\dfrac{6}{5}\times\dfrac{10}{7}+\dfrac{6}{5}\)
\(=\dfrac{6}{5}\times\left(\dfrac{3}{7}+\dfrac{10}{7}+1\right)\)
\(=\dfrac{6}{5}\times\left(\dfrac{3}{7}+\dfrac{10}{7}+\dfrac{1\times7}{1\times7}\right)\)
\(=\dfrac{6}{5}\times\left(\dfrac{3}{7}+\dfrac{10}{7}+\dfrac{7}{7}\right)\)
\(=\dfrac{6}{5}\times\dfrac{20}{7}\)
\(=\dfrac{120}{35}\)
\(=\dfrac{24}{7}\)
13 tháng 10 2019
\(5^3.\left(3x+2\right):13=10^3:\left(13^5:13^4\right)\)
\(125.\left(3x+2\right):13=1000:13\)
\(125.\left(3x+2\right)=1000\)
\(3x+2=1000:125\)
\(3x+2=8\)
\(3x=6\)
\(x=2\)
Hok tốt nha^^
13 tháng 10 2019
=>53.(3x+2):13=103: 13
=>53.(3x+2)=103
=>(3x+2)=53
=>3x+2=5
=>3x=3
=>x=3:3
=>x=1
NV
1
YY
1
17 tháng 11 2018
a) 53( 3x + 2 ) : 13 = 103 : ( 135 : 134 )
=> 53( 3x + 2 ) : 13 = 103 : 13
=> 53( 3x + 2 ) = 103 : 13 : 13
=> 53( 3x + 2 ) = 103
=> 3x + 2 = 23
=> 3x + 2 = 8
=> 3x = 6
=> x = 2
11 tháng 3 2022
a: =-5/11-6/11+1=-11/11+1=0
b: =-13/17-13/21-4/17=-1-13/21=-34/21
b: \(=-\dfrac{5}{12}\cdot\dfrac{9}{20}\cdot\dfrac{7}{17}=\dfrac{-21}{272}\)
d: \(=\dfrac{13}{17}\left(-\dfrac{4}{5}-\dfrac{3}{4}\right)=\dfrac{13}{17}\cdot\dfrac{-31}{20}=\dfrac{-403}{340}\)
EC
2
T
13 tháng 10 2018
a)\(78-3\left(x-1\right)=15\)
\(3\left(x-1\right)=78-15\)
\(3\left(x-1\right)=63\)
\(x-1=63:3\)
\(x-1=21\)
\(x=21+1=22\)
b. \(\left(7x-11\right)^3=2^5.5^2+200\)
\(\left(7x-11\right)^3=32.25+200\)
\(\left(7x-11\right)^3=800+200=1000\)
\(\left(7x-11\right)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(7x=10+11\)
\(7x=21\)
\(x=21:7=3\)
c.\(5.\left(3x-13\right)=5^4\)
\(3x-13=5^4:5\)
\(3x-13=5^3=125\)
\(3x=125+13=138\)
\(x=138:3=46\)
d.\(3.\left(5x-13\right)=3^4\)
\(5x-13=3^4:3=3^3\)
\(5x-13=27\)
\(5x=27+13=40\)
\(x=40:5=8\)
\(\left[5^3.\left(3x+2\right)\right]:13=5^5:\left(13^5:13^4\right)\)
\(\left[5^3\left(3x+2\right)\right]:13=5^5:13\)
\(\left[5^3\left(3x+2\right)\right]:13=\frac{3125}{13}\)
\(\left[5^3\left(3x+2\right)\right]=3125\)
\(3x+2=3125:5^3\)
\(3x+2=25\)
\(3x=25-2\)
\(3x=23\)
\(x=\frac{23}{3}\)
\(5^3.\left(3x+2\right):13=5^5:\left(13^5:13^4\right)\)
\(5^3.\left(3x+2\right):13=3125:13\)
\(5^3.\left(3x+2\right):13=\frac{3125}{13}\)
125 . ( 3x + 2 ) : 13 =\(\frac{3125}{13}\)
125 . ( 3x + 2 ) =\(\frac{3125}{13}.\frac{13}{1}=3125\)
3x + 2 = 3125 : 125
3x + 2 = 25
3x = 25 -2
3x = 23
x = 23 : 3
x = \(\frac{23}{3}\)