Question

Simplified form of {2^(n+4) - 2(2^n)} / {2 x 2^(n+3) } is?

Answer 1

{2^(n+4) - 2(2^n)}/(2 × 2^(n+3))

use formula,

x.x^m = x^(m+1)

now,
={2^(n+4) -2^(n+1)}/2^(n+4)

use x^(m +n) = x^m.x^n

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

use formula,
x^m/x^n = x^(m-n)

=2^(n+1-n-4)(8-1)

=2^(-3)(7)

=7/8

Answer 2

see attachment..
.hope it helps....