When a=x+(3/x) and b=x-(3/x), (2^a^2)/(2^b^2)=?  Choose the correct option.
A) 2	B) 4	C) 8	D) 16	E) 4096
--&gt; (2^a^2)/(2^b^2) ={(2)^(a^2-b^2)}=2^(a-b)(a+b). Since a-b=6/x and a+b=2x, 2^(a-b)(a+b)=2^(6/x)(2x)=2^12=4096   Therefore, the answer is 4096
<result>E</result>
When a=x+(3/x) and b=x-(3/x), (2^a^2)/(2^b^2)=?