SOLUTION: How do you simplify completely this complex fraction? [(a+1/a-1)+1 / (a+1/a-1)-1]^5

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Question 88220: How do you simplify completely this complex fraction?
[(a+1/a-1)+1 / (a+1/a-1)-1]^5

Answer by rossiv53(27) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28%28a%2B1%29%2F%28a-1%29%2B1%29+%2F+%28%28a%2B1%29%2F%28a-1%29-1%29%29%5E5
First, begin by simplifying inside the parenthesis.

Simplify your numerators
%28%282%2Aa%2F%28a-1%29%29%2F%282%2F%28a-1%29%29%29%5E5
Do the division inside the parenthesis
%28%28%282%2Aa%29%2F%28a-1%29%29%2A%28%28a-1%29%2F2%29%29%5E5
=%282%2Aa%2A%28a-1%29%2F%282%2A%28a-1%29%29%29%5E5
Cancel common factors
%28a%2F1%29%5E5
Distribute your exponent
and answer is
a%5E5
Good luck!