When a=x+(2/x) and b=x-(2/x), (2^a^2)/(2^b^2)=?	Choose the correct choice from the following options
A) 2  B) 256  C) 8  D) 16  E) 32

Rationale: - - > ( 2 ^ a ^ 2 ) / ( 2 ^ b ^ 2 ) = { ( 2 ) ^ ( a ^ 2 - b ^ 2 ) } = 2 ^ ( a - b ) ( a + b ) . since a - b = 4 / x and a + b = 2 x , 2 ^ ( a - b ) ( a + b ) = 2 ^ ( 4 / x ) ( 2 x ) = 2 ^ 8 = 256 answer is b
Answer: B