Question

3^n - 9^n over 4^n -12^n

Answer 1

`(3^n-9^n)/(4^n-12^n)=(3^n-(3\cdot3)^n)/(4^n-(4\cdot3)^n)\\\\\text{use}\ (ab)^n=a^nb^n\\\\=(3^n-3^n\cdot3^n)/(4^n-4^n\cdot3^n)=(3^n(1-3^n))/(4^n(1-3^n))=(3^n)/(4^n)=\left((3)/(4)\right)^n`