## Cutiepo0 How to evaluate (6^1+6^-1)/(6^1-6^-1) 2 years ago 2 years ago

1. satellite73

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

2. satellite73

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

3. Cutiepo0

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

4. satellite73

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

5. satellite73

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

6. Cutiepo0

THanks :)