=> (27 : 9)ⁿ = 9²⁷ : 9²

=> 3ⁿ =  9²⁵

=> 3ⁿ = (3²)²⁵

=> 3ⁿ = 3⁵⁰

=> n = 50

\(27^n.9^n=9^{27}:81\)

\(3^{3.n}.3^{2.n}=9^{27}:9^2\)

\(3^{3n+2n}=3^{2.25}\)

\(3^{5n}=3^{50}\)

\(→5n=50→n=50:5=10\)

Vậy, .......

\(\text{~ Chúc học tốt ~ Ai ngang qua xin để lại 1 L - I - K - E}\)

3³ⁿ.3²ⁿ=3⁵⁴:3⁴

=>3⁵ⁿ=3⁵⁰

=>5n=50

=>n=10

\(27^n.9^n=9^{27}:81\)

\(3^{3n}.3^{2n}=3^{54}:3^4\)

\(3^{5n}=3^{50}\)

=> 5n = 50

=> n = 10

mk ghi lại đề nha:

27ⁿ : 9ⁿ = 9²⁷ : 81

(27 : 9)ⁿ = 9²⁷ : 9²

\(\Rightarrow\)     3ⁿ  = 9²⁵

\(\Rightarrow\)      3ⁿ = (3²)²⁵

\(\Rightarrow\)      3ⁿ  = 3⁵⁰

Vậy n = 50

\(27^n.9^n=9^{27}:81\Rightarrow3^{3n}:3^{2n}=3^{54}:3^4=3^{50}\)

\(\Rightarrow3^{5n}=3^{50}\Rightarrow5n=50\Rightarrow n=\frac{50}{5}=10\)

\(27^n.9^n=9^{27}:81\)

\(\left(27.9\right)^n=9^{27}:9^2\)

\(\left(27.9\right)^n=9^{25}\)

\(\left(3^3.3^2\right)^n=9^{25}\)

\(\left(3^5\right)^n=\left(3^2\right)^{25}\)

\(\left(3^5\right)^n=\left(3^5\right)^{10}\)

\(\Rightarrow n=10\)

27ⁿ.9ⁿ=9²⁷:81

<=>(27.9)ⁿ=9²⁷:9²

<=>243ⁿ=9²⁵

<=>3⁵ⁿ=3⁵⁰

<=>5n=50

<=>n=10

\(27^n.9^n=3^{3n}.3^{2n}=3^{5n}\)

\(9^{27}\div81=3^{54}\div3^4=3^{50}\)

\(\Leftrightarrow3^{5n}=3^{50}\Leftrightarrow n=10\)