a, 4n=(43)3.(44)3
=>4n=49.412
=>4n=421
=>n=21
b, 8n.253=1252
=>8n=1252:253
=>8n=(53)2:(52)3
=>8n=56:56
=>8n=1=80
=>n=0
Chúc bạn học giỏi nha!!!
\(4^n=64^3.256^3\)
\(\Leftrightarrow4^n=\left(4^3\right)^3.\left(4^4\right)^3\)
\(\Leftrightarrow4^n=4^9.4^{12}=4^{21}\)
\(\Leftrightarrow n=21\)
Vậy \(n=21\)
a)\(4^n=64^3.256^3\Rightarrow4^n=\left(4^3\right)^3.\left(4^4\right)^3\Rightarrow4^n=4^9.4^{12}\Rightarrow4^n=4^{21}\Rightarrow n=21\)
b)\(8^n.25^3=125^2\Rightarrow8^n=125^2:25^3\Rightarrow8^n=\left(5^3\right)^2 :\left(5^2\right)^3\Rightarrow8^n=5^6:5^6\Rightarrow8^n=1\Rightarrow n=0\)
