\(2^{x+3}+2^x=36\)

\(2^x.8+2^x.1=36\)

\(2^x.\left(8+1\right)=36\)

\(2^x.9=36\)

\(2^x=36:9\)

\(2^x=4\)

\(2^x=2^2\)

\(\Rightarrow x=2\)

Vậy `x = 2`

@ MNgọc . Cop mạng thì ghi "Tham khảo" vào!

\(\left(x+\dfrac{1}{6}\right)+\left(x+\dfrac{1}{12}\right)+\left(x+\dfrac{1}{20}\right)+\left(x+\dfrac{1}{30}\right)=\dfrac{2023}{6}\)

\(\left(x+\dfrac{1}{2.3}\right)+\left(x+\dfrac{1}{3.4}\right)+\left(x+\dfrac{1}{4.5}\right)+\left(x+\dfrac{1}{5.6}\right)=\dfrac{2023}{6}\)

\(\left(x+x+x+x\right)+\left(\dfrac{1}{2.3}+\dfrac{1}{3.4}+\dfrac{1}{4.5}+\dfrac{1}{5.6}\right)=\dfrac{2023}{6}\)

\(4x+\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}\right)=\dfrac{2023}{6}\)

\(4x+\left(\dfrac{1}{2}-\dfrac{1}{6}\right)=\dfrac{2023}{6}\)

\(4x+\dfrac{1}{3}=\dfrac{2023}{6}\)

\(4x=\dfrac{2023}{6}-\dfrac{1}{3}\)

\(4x=\dfrac{2021}{6}\)

\(x=\dfrac{2021}{6}:4\)

\(x=\dfrac{2021}{24}\)

Vậy...

\(\dfrac{1}{2}\times\dfrac{1}{7}+0,5\times\dfrac{6}{7}\)

\(=\dfrac{1}{2}\times\dfrac{1}{7}+\dfrac{1}{2}\times\dfrac{6}{7}\)

\(=\dfrac{1}{2}\times\left(\dfrac{1}{7}+\dfrac{6}{7}\right)\)

\(=\dfrac{1}{2}\times1\)

\(=\dfrac{1}{2}\)

\(\dfrac{4}{3}\times\dfrac{9}{8}:\dfrac{5}{2}\times\dfrac{4}{25}\)

\(=\dfrac{4}{3}\times\dfrac{9}{8}\times\dfrac{2}{5}\times\dfrac{4}{25}\)

\(=\dfrac{4\times9\times2\times4}{3\times8\times5\times25}\)

\(=\dfrac{2\times3\times2\times1}{1\times1\times5\times25}\)

\(=\dfrac{12}{125}\)

xx hay x  + ?

Vậy `235698 : 23 = 10247` (dư `17` )

\(\dfrac{45^{10}.5^{10}}{75^{10}}\)

\(=45^{10}.5^{10}:75^{10}\)

\(=\left(45.5:75\right)^{10}\)

\(=3^{10}\)

use a handkerchief when you sneeze

\(\dfrac{8}{2.n}=2\)

\(8:2.n=2\)

\(2.n=8:2\)

`2.n = 4`

` n = 4 : 2`

` n = 2`

Vậy `n = 2`