\(32-2\left\{3^3-4\left[5^6:5^4-\left(3.7-1\right)\right]\right\}\)

\(=32-2\left[27-4\left(25-20\right)\right]\)

\(=32-2\left(27-100+80\right)\)

\(=32-2.7=32-14=18\)

\(\frac{2}{5}+\frac{3}{5}.\left(3x-3.7\right)=\frac{-53}{10}\)

\(\Rightarrow\frac{3}{5}.\left(3x-3.7\right)=\frac{-53}{10}-\frac{2}{5}\)

\(\Rightarrow\frac{3}{5}.\left(3x-3.7\right)=\frac{-57}{10}\)

\(\Rightarrow3x-3.7=\frac{-57}{10}:\frac{3}{5}\)

\(\Rightarrow3x-3.7=\frac{-19}{2}\)

\(\Rightarrow3x=\frac{-19}{2}+21\)

\(\Rightarrow3x=\frac{23}{2}\)

\(\Rightarrow x=\frac{23}{2}:3\)

\(\Rightarrow x=\frac{23}{6}\)

\(\dfrac{6^3.7-6^{13}.12}{6^3\left(5^3-5^2\right)}=\dfrac{6^3\left(7-12\right)}{5^3\left(125-25\right)}=\dfrac{-5}{100}=-\dfrac{1}{20}\)

\(=\dfrac{6^3\left(7-12\right)}{6^3\left(125-25\right)}=\dfrac{-5}{100}=-\dfrac{1}{20}\)

\(\dfrac{6^3.7-6^3.12}{6^3.\left(5^3-5^2\right)}=\dfrac{6^3.\left(-5\right)}{6^3.100}=\dfrac{1}{-20}\)

phân số thứ 2 ở trên tử số\(5^3\) thành \(5^2\) nha

\(\dfrac{a}{b}=\dfrac{3^4\cdot2^2\cdot\left(2-1\right)}{3^5\cdot\left(3^2-5\right)}=\dfrac{2^2}{3}\cdot\dfrac{1}{4}=\dfrac{1}{3}\)

\(\dfrac{c}{d}=\dfrac{5^3\left(7-2\right)}{5^3\left(7-4\right)}=\dfrac{5}{3}\)

Do đó: a/b<c/d

Sửa đề:1/1*3+2/3*7+3/7*13+4/13*21+5/21*31

=1/2(2/1*3+4/3*7+6/7*13+8/13*21+10/21*31)

=1/2(1-1/3+1/3-1/7+...+1/21-1/31)

=1/2*30/31=15/31

a: =>48+338:(6x-5)^2=50

=>338:(6x-5)^2=2

=>(6x-5)^2=169

=>6x-5=13 hoặc 6x-5=-13

=>6x=-8 hoặc 6x=18

=>x=3 hoặc x=-4/3

b: =>120:[16-12(3x-74)]=81-21=60

=>16-12(3x-74)=2

=>12(3x-74)=14

=>3x-74=7/6

=>x=451/18

a: =>338:(6x-5)^2=25*2-48=2

=>(6x-5)^2=169

=>6x-5=13 hoặc 6x-5=-13

=>x=-4/3 hoặc x=3

b: =>120:[16-12(3x-74)]=81-21=60

=>16-12(3x-74)=2

=>12(3x-74)=14

=>3x-74=7/6

=>3x=451/6

=>x=451/18

<=>5^2.7^3x+5^3.7^2.11=125(7x+55)

=>1225(7x+55)=0

=>8575x+67375=0

=>8575x=-67375

=>1225.7x=1225.(-55)

=>7x=-55

=>x=\(\frac{-55}{7}\)

x=\(\frac{-55}{7}\)

5^2.7^2.(3x+5.11)=0

vì 5^2.7^2khac 0 nên 3x+55=0 =) 3x= -55 =) x=-55/3

\(2448:\left[119-\left(23-6\right)\right]\)

\(=2448:\left[119-23+6\right]\)

\(=2448:102\)

\(=24\)

\(\left[130-3\left(5.2^4-5^2.2\right)\right]:2^3\)

\(=\left[130-3\left(5.16-25.2\right)\right]:8\)

\(=\left[130-3\left(80-50\right)\right]:8\)

\(=\left[130-3.30\right]:8\)

\(=\left[130-90\right]:8\)

\(=40:8=5\)

\(5^3.52+5^3.7^2-5^3\)

\(=5^3.52+5^3.49-5^3\)

\(=5^3\left(52+49-1\right)\)

\(=5^3.100\)

\(=125.100=12500\)

\(2^3.16-2^3.14+56\)

\(=2^3.16-2^3.14+2^3.7\)

\(=2^3\left(16-14+7\right)\)

\(=2^3.9\)

\(=8.9=72\)