Question

(4^n×3^2n+1) : (2^2n+1×9^n) = ???

Answer 1

[tex]4^n\cdot3^{2n+1}=4^n\cdot 3^{2n}\cdot 3=36^n\cdot 3\\ 2^{2n+1}\cdot 9^n=2^{2n}\cdot 9^n\cdot 2=36^n\cdot 2\\ \dfrac{4^n\cdot 3^{2n+1}}{2^{2n+1}\cdot 9^n}= \dfrac{36^n\cdot 3}{36^n\cdot 2}=\boxed{\dfrac{3}{2}}[/tex]