Question 88220
{{{(((a+1)/(a-1)+1) / ((a+1)/(a-1)-1))^5}}}
First, begin by simplifying inside the parenthesis.
{{{((((a+1)+1(a-1))/(a-1))/(((a+1)-1(a-1))/(a-1)))^5}}}
Simplify your numerators 
{{{((2*a/(a-1))/(2/(a-1)))^5}}}
Do the division inside the parenthesis
{{{(((2*a)/(a-1))*((a-1)/2))^5}}}
={{{(2*a*(a-1)/(2*(a-1)))^5}}}
Cancel common factors
{{{(a/1)^5}}}
Distribute your exponent 
and answer is 
{{{a^5}}}

Good luck!