The following expression has to be simplified: 2^(1 - n)*(sqrt 8)^n)/(sqrt 2)^-n

2^(1 - n)*(sqrt 8)^n)/(sqrt 2)^-n

=> 2^(1 - n)*(2^(3/2)^n)/(2^(-n/2))

=> 2^(1 - n)*(2^(3n/2)/(2^(-n/2))

=> 2^(1 - n)*(2^(3n/2 + n/2)

=> 2^(1 - n)*(2^(2n))

=> 2^1*2^(2n - n)

=> 2^1*2^n

=> 2^(1+n)

**The required result is option 4: 2^(n+1)**