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\(\left(-3\right)^n:81=27\)
\(\Rightarrow\left(-3\right)^n=27.81\)
\(\Rightarrow\left(-3\right)^n=3^3.3^4\)
\(\Rightarrow\left(-3\right)^n=3^7\)
\(\Rightarrow\)Sai đề
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{\left(-3\right)^n}{81}=-27\)
\(\left(-3\right)^n=-2187=\left(-3\right)^7\)
=> n = 7
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Ta có :\(\frac{1}{27}=\frac{81^n}{3^n}\)
\(\frac{1}{27}=81^n:3^n=27^n\)
\(27^n=27^{-1}\)
n = -1
Vậy n = -1
1/27 x 81^n =3^n
=>(1/3)^3 x (3^4)^n =3^n
=>(3^ -1)^3 x 3^4n = 3^n
=>3^-3 x 3^4n=3^n
=>3^(-3+4n)=3^n
=> -3+4n=n
=> 4n-n=3
=> 3n =3=>n=1
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{\left(-3\right)^n}{81}=-27\)
\(\Rightarrow\left(-3\right)^n=-2187=\left(-3\right)^7\)
=> n = 7
\(\Rightarrow\left(-3\right)^n=\left(-27\right).81=-2187\)\(=\left(-3\right)^7\)
Vậy n=7
(-3)n/81=-27
(-3)n/(-3)4=(-3)3
=>n-4=3
n=3+4
n=7