4n = 256
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![](https://rs.olm.vn/images/avt/0.png?1311)
* \(2n=2560\Leftrightarrow n=\dfrac{2560}{2}=1280\) vậy \(n=1280\)
* \(3n=729\Leftrightarrow n=\dfrac{729}{3}=243\) vậy \(n=243\)
* \(4n=256\Leftrightarrow n=\dfrac{256}{4}=64\) vậy \(n=64\)
* \(2.2n=256\Leftrightarrow n=\dfrac{256}{2.2}=\dfrac{256}{4}=64\) vậy \(n=64\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 4n=256
=>4n=44
=>n=4
b) 620.64n=6200
=>620+4n=6200
=>20+4n=200
=>4n=200-20
=>4n=180
=>n=180:4
=>n=45
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=256-\dfrac{256}{2}-\dfrac{256}{2^2}-\dfrac{256}{2^3}-.......-\dfrac{256}{2^9}\)
\(\Leftrightarrow A=256\left(1-\dfrac{1}{2}-\dfrac{1}{2^2}-\dfrac{1}{2^3}-.....-\dfrac{1}{2^9}\right)\)
Đặt \(B=\dfrac{1}{2}-\dfrac{1}{2^2}-\dfrac{1}{2^3}-.....-\dfrac{1}{2^9}\)
\(\Leftrightarrow2B=1-\dfrac{1}{2}-\dfrac{1}{2^2}-.....-\dfrac{1}{2^8}\)
\(\Leftrightarrow2B-B=1-\dfrac{1}{2^9}\)
\(\Leftrightarrow B=1-\dfrac{1}{2^9}\)
\(\Leftrightarrow A=256\left(1-\dfrac{1}{2^9}\right)\)
\(\Leftrightarrow A=256-\dfrac{1}{2^9}\)
\(\Leftrightarrow A=2^8-\dfrac{1}{2^9}\)
\(\Leftrightarrow A=\dfrac{2^{17}}{2^9}-\dfrac{1}{2^9}\)
\(\Leftrightarrow A=\dfrac{2^{17}-1}{2^9}\)
Vậy \(\Leftrightarrow A=\dfrac{2^{17}-1}{2^9}\)
Chúc bạn học tốt >w<
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\dfrac{64^2+256^2}{256^2+1024^2}=\dfrac{64^2\left(1+4^2\right)}{256^2\left(1+4^2\right)}=\left(\dfrac{64}{256}\right)^2=\dfrac{1}{16}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
`4n=256`
`n=256:4`
`n=64`