Question

simplify  (16 x 2(n+1) - 4 x 2n) ÷ (16 x 2(n +2) – 2 x 2(n + 1))​

Answer 1

Answer is ½

To Find

{[ 16×2^(n+1)] - 4× 2^n} ÷ [16×2^(n+2)]-2×2^(n+1)

Explanation

TAKE 2^(n+2) AS A COMMON FACTOR FROM DENOMINATOR

16×2^(2n+1) -2×2×2^n÷ (16-2)×2^n+2

since a^b × a^ c= a^c+b

16×2^(2n+1) -2×2^n+1÷ (16-2)×2^n+2

SIMPLIFY

14×2^n+1 ÷ 14× 2^n+2

2×2^n÷ 2²× 2^n

½