Question

\(16^n:2^n=64\)

Answer 1

\(16^n:2^n=64\)

\(\Leftrightarrow\left(16:2\right)^n=64\)

\(\Leftrightarrow8^n=64\)

\(\Leftrightarrow n=2\)

Answer 2

\(16^n:2^n=64\\\Rightarrow\left(2^4\right)^n:2^n=64\\ \Rightarrow2^{4n}:2n^n=2^6\\ \Rightarrow2^{3n}=2^6\\ \Rightarrow3n=6\\ \Rightarrow n=\dfrac{6}{3}\\ \Rightarrow n=2\)