Question

simplify this question

Answer 1

Answer:

3/7

Step-by-step explanation:

16 = 2^4

8 = 2^3

4 = 2^2

so

(2^4 x 2^n+1 - 2^3 x 2^n)/(2^4 x 2^n+2 - 2^2 x 2^n+1)

= (2^4+n+1 - 2^3+n)/(2^4+n+2 - 2^2+n+1)

=(2^5+n - 2^3+n)/(2^6+n - 2^3+n)

=(2^n)(2^5 - 2^3)/(2^n)(2^6 - 2^3)

= (2^5 - 2^3)/(2^6-2^3)

=(2^3)(2^2 - 1)/(2^3)(2^3 - 1)

= (4-1)/(8-1)

=3/7