Question

Dont mind what I have wrote​

Answer 1

n = 10

Explanation:

`(4^8)/((4^2)^(-3))/4^4=4^n\qquad\text{use}\ (a^n)^m=a^(nm)\\\\(4^8)/(4^((2)(-3)))}/4^4=4^n\\\\(4^8)/(4^(-6))/4^4=4^n\qquad\text{use}\ (a^n)/(a^m)=a^(n-m)\\\\4^(8-(-6))/4^4=4^n\\\\4^(14)/4^4=4^n\qquad\text{use}\ a^n/ a^m=a^(n-m)\\\\4^(14-4)=4^n\\\\4^(10)=4^n\Rightarrow n=10`

Answer 2

n = 10

Explanation:

`(4^8)/((4^2)^(-3)) / 4^4 = 4^n`

`(4^8)/(4^(-6)) / 4^4 = 4^n`

`4^8 * 4^6 / 4^4 = 4^n`

`4^((8 + 6 - 4))= 4^n`

`4^(10)= 4^n`

`n = 10`