Question

How to evaluate (6^1+6^-1)/(6^1-6^-1)

Answer 1

no nice gimmick here. just write
\[\frac{6+\frac{1}{6}}{6-\frac{1}{6}}\]

Answer 2

multiply top and bottom by 6 to clear the fractions . you will get
\[\frac{37}{35}\]

Answer 3

Oh! Okay... and you get 1/6 because 6^-1 = 1/6, right?

Answer 4

if you want to be fancy you can say that
\[\frac{x+\frac{1}{x}}{x-\frac{1}{x}}=\frac{x^2+1}{x^2-1}\]

Answer 5

yes that is right
\[6^{-1}=\frac{1}{6}\]

Answer 6

THanks :)