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\(A=\dfrac{\sqrt{\dfrac{9}{4}-3^{-1}+2018^0}}{25\%+1\dfrac{1}{4}-1,3}-\dfrac{\left(-\dfrac{1}{2}\right)^2-\sqrt{\dfrac{4}{9}}+0,4}{0,6-\dfrac{2}{3}.\left(-\dfrac{1}{4}-\dfrac{1}{2}\right)}\)
\(A=\dfrac{\sqrt{\dfrac{9}{4}-\dfrac{1}{3}+1}}{\dfrac{1}{4}+\dfrac{5}{4}-\dfrac{13}{10}}-\dfrac{\dfrac{1}{4}-\dfrac{2}{3}+\dfrac{2}{5}}{\dfrac{3}{5}-\dfrac{2}{3}\left(-\dfrac{1}{4}-\dfrac{1}{2}\right)}\)
\(A=\dfrac{\sqrt{\dfrac{35}{12}}}{\dfrac{1}{5}}-\dfrac{-\dfrac{1}{60}}{\dfrac{11}{10}}\)
\(A=\dfrac{5\sqrt{105}}{6}+\dfrac{11}{66}\)
\(A=\dfrac{55\sqrt{105}}{66}+\dfrac{11}{66}\)
\(A=\dfrac{55\sqrt{105}+11}{66}\)
ai trả lời giùm mình câu hỏi này đi ai đang online thì giúp với chiều nay mình đi kiểm tra rồi help me
x + x : 0,2 = 1,35
x * 1 + x * 5 = 1,35
x * ( 1 + 5 ) = 1,35
x * 6 = 1,35
x = 1,35 : 6
x = 0,225
hok tốt nha ^_^
Ta có : \(\frac{x+2}{2019}+\frac{x+3}{2018}+\frac{x+4}{2017}+\frac{x+5}{1008}+\frac{x+2076}{11}=0\)
=> \(\frac{x+2}{2019}+1+\frac{x+3}{2018}+1+\frac{x+4}{2017}+1+\frac{x+5}{1008}+2+\frac{x+2076}{11}-5=0\)
=> \(\frac{x+2}{2019}+\frac{2019}{2019}+\frac{x+3}{2018}+\frac{2018}{2018}+\frac{x+4}{2017}+\frac{2017}{2017}+\frac{x+5}{1008}+\frac{2016}{1008}+\frac{x+2076}{11}-\frac{55}{11}=0\)
=> \(\frac{x+2021}{2019}+\frac{x+2021}{2018}+\frac{x+2021}{2017}+\frac{x+2021}{1008}+\frac{x+2021}{11}=0\)
=> \(\left(x+2021\right)\left(\frac{1}{2019}+\frac{1}{2018}+\frac{1}{2017}+\frac{1}{1008}+\frac{1}{11}\right)=0\)
=> \(x+2021=0\)
=> \(x=-2021\)
Vậy phương trình trên có tập nghiệm là \(S=\left\{-2021\right\}\)
1: =1/8*9/4=9/32
2: =8/27*243/32=9/4
3: =(5/4*4/5)^5*(4/5)^2=16/25
4: \(=\left(-\dfrac{5}{6}\cdot\dfrac{6}{5}\right)^2\cdot\left(\dfrac{6}{5}\right)^2=\dfrac{36}{25}\)
5: \(=\left(-\dfrac{4}{3}\right)^3\cdot\left(\dfrac{3}{4}\right)^{10}=\left(-1\right)\left(\dfrac{3}{4}\right)^7=-\left(\dfrac{3}{4}\right)^7\)
6: \(=\left(\dfrac{1}{3}\cdot\dfrac{-9}{2}\right)^4\left(-\dfrac{9}{2}\right)^2=\left(-\dfrac{3}{2}\right)^4\cdot\dfrac{81}{4}=\dfrac{9}{4}\cdot\dfrac{81}{4}=\dfrac{729}{16}\)
8: =(0,2*5)^4*5^2=25
10: =-0,5^5*2^10
=-0,5^5*2^5*2^5
=-32
13: =(0,5*2)^2*2^2=4
\(\left(\frac{4}{3}\right)^{2018}:\left(\frac{16}{9}\right)^{1008}-x=0,6^3:0,2^3\)
\(\Leftrightarrow\left[\left(\frac{4}{3}\right)^2\right]^{1009}:\left(\frac{16}{9}\right)^{1008}-x=27\)
\(\Leftrightarrow\left(\frac{16}{9}\right)^{1009}:\left(\frac{16}{9}\right)^{1008}-x=27\)
\(\Leftrightarrow\frac{16}{9}-x=27\)
\(\Leftrightarrow x=\frac{-227}{9}\)
Vậy x = \(\frac{-227}{9}\)