\(\frac{4^{1007}.9^{1007}}{3^{2015}.16^{503}}=\frac{4^{1007}.\left(3^2\right)^{1007}}{3^{2015}.\left(4^2\right)^{503}}=\frac{4^{1007}.3^{2014}}{3^{2015}.4^{1006}}=\frac{4}{3}\)

a) \(\frac{3}{4}-\frac{2}{5}.x=x\)

\(\Rightarrow\frac{-2}{5}.x-x=\frac{-3}{4}\)

\(x.\left(\frac{-2}{5}-1\right)=\frac{-3}{4}\)

\(x.\frac{-7}{5}=\frac{-3}{4}\)

\(x=\frac{-3}{4}:\left(\frac{-7}{5}\right)\)

\(x=\frac{15}{28}\)

b) (2x-1).(3x-1/5).(4-2x) = 0

=> 2x - 1 = 0 => 2x = 1 => x = 1/2

3x-1/5 = 0 => 3x = 1/5 => x = 1/15

4-2x = 0 => 2x = 4 => x = 2

KL: x = 1/2 hoặc x = 1/15 hoặc x = 2

Cho hỏi viết số mũ như thế nào vậy Chỉ cho mk với

\(\frac{4^{1007}\cdot9^{1007}}{3^{2015}\cdot16^{503}}\)

\(=\frac{\left(2^2\right)^{1007}\cdot\left(3^2\right)^{1007}}{3^{2015}\cdot\left(2^4\right)^{503}}\)

\(=\frac{2^{2014}\cdot3^{2014}}{3^{2015}\cdot2^{2012}}\)

\(=\frac{2^2\cdot1}{3\cdot1}=\frac{4}{3}\)

cau chi can nhin trên bang ma ban viet ,ở bên trên có hinh x²

- Quy đồng lên thôi bạn

\(\frac{1006}{1007}=1-\frac{1}{1007}\)

\(\frac{2013}{2015}=1-\frac{2}{2015}\)

\(\frac{1}{1007}< \frac{2}{2015}\Rightarrow\frac{1006}{1007}>\frac{2013}{2015}\)

b) Ta có:
\(1-\frac{1006}{1007}=\frac{1}{1007}=\frac{2}{2014}\)

\(1-\frac{2013}{2015}=\frac{2}{2015}\)
Vì \(\frac{2}{2014}>\frac{2}{2015}\) nên \(\frac{1006}{1007}< \frac{2013}{2015}\)

Tham khảo :

https://olm.vn/hoi-dap/detail/246811967549.html

\(\frac{x+2}{2017}+\frac{x+3}{2016}+\frac{x+4}{2015}+\frac{x+5}{1007}+\frac{x+2074}{11}=0\)

\(\Leftrightarrow\frac{x+2}{2017}+1+\frac{x+3}{2016}+1+\frac{x+4}{2015}+1+\frac{x+5}{1007}+2+\frac{x+2074}{11}-5=0\)

\(\Leftrightarrow\frac{x+2019}{2017}+\frac{x+2019}{2016}+\frac{x+2019}{2015}+\frac{x+2019}{1007}+\frac{x+2019}{11}=0\)

\(\Leftrightarrow\left(x+2019\right)\left(\frac{1}{2017}+\frac{1}{2016}+\frac{1}{2015}+\frac{1}{1007}+\frac{1}{11}\right)=0\)

\(\Leftrightarrow\left(x+2019\right)=0vì\left(\frac{1}{2017}+\frac{1}{2016}+\frac{1}{2015}+\frac{1}{1007}+\frac{1}{11}\right)\ne0\)

\(\Leftrightarrow x=-2019\)

=2015-(2015-2016)-2016+2^2017-2015-2²⁰¹⁵/2²⁰¹⁴-(1-4)-3-(5+6)+11

=(2015-2015)+(2016-2016)+2²-2+3-3-11+11

=0+0+(4-2)+(3-3)-(11-11)

=2

giải thích củ thể dùm mình cái

=(2²⁰¹⁴.3²⁰¹⁴/3²⁰¹⁵.2²⁰¹²) -1 = 2²/3  -1 = 1/3

tính giá trị biểu thức nha