Question

[jefeownf]

5^-3*25^n=5^3n

giúp mình với nha

Answer 1

[nguyễn tuấn thảo]

\(5^{-3}\cdot25^n=5^{3n}\)

\(\Rightarrow5^{-3}\cdot\left(5^2\right)^n=5^{3n}\)

\(\Rightarrow5^{-3}\cdot5^{2n}=5^{3n}\)

\(\Rightarrow5^{-3+2n}=5^{3n}\)

\(\Rightarrow-3+2n=3n\)

\(\Rightarrow n=-3\)