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10 tháng 8 2016

\(\left[5^3.\left(3x+2\right)\right]:13=5^5:\left(13^5:13^4\right)\)

\(\left[5^3\left(3x+2\right)\right]:13=5^5:13\)

\(\left[5^3\left(3x+2\right)\right]:13=\frac{3125}{13}\)

\(\left[5^3\left(3x+2\right)\right]=3125\)

\(3x+2=3125:5^3\)

\(3x+2=25\)

\(3x=25-2\)

\(3x=23\)

\(x=\frac{23}{3}\)

10 tháng 8 2016

 

\(5^3.\left(3x+2\right):13=5^5:\left(13^5:13^4\right)\)

\(5^3.\left(3x+2\right):13=3125:13\)

\(5^3.\left(3x+2\right):13=\frac{3125}{13}\)

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                    = \(\frac{23}{3}\)

 

8 tháng 8 2016

\(\left[5^3\left(3x+2\right)\right]:13=5^5:\left(13^5:13^4\right)\)

\(\left[5^3\left(3x+2\right)\right]:13=5^5:13\)

\(5^3\left(3x+2\right)=5^5:13.13\)

\(5^3\left(3x+2\right)=5^5\)

\(3x+2=5^5:5^3\)

\(3x+2=25\)

\(3x=25-2\)

\(3x=23\)

\(\Rightarrow x=\frac{23}{3}\)

8 tháng 8 2016

 ( 375x+250 ) :13=3125;13

375x+250=3125

375x=2875

x=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

20 tháng 11 2016

x = 2

tk nhé

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 ) = 10

=> 3x + 2 = 23

=> 3x + 2 = 8

=> 3x = 6

=> x = 2

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: \(=\dfrac{13}{17}\left(-\dfrac{4}{5}-\dfrac{3}{4}\right)=\dfrac{13}{17}\cdot\dfrac{-31}{20}=\dfrac{-403}{340}\)

12 tháng 10 2018

mẫu ý a)

78-3(x-1)=15

<=>78-3x+3=15

<=>3x=81-15=66

<=>x=22

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.\(3.\left(5x-13\right)=3^4\)

\(5x-13=3^4:3=3^3\)

\(5x-13=27\)

\(5x=27+13=40\)

\(x=40:5=8\)