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Cutiepo0

  • 4 years ago

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

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  1. anonymous
    • 4 years ago
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    no nice gimmick here. just write \[\frac{6+\frac{1}{6}}{6-\frac{1}{6}}\]

  2. anonymous
    • 4 years ago
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    multiply top and bottom by 6 to clear the fractions . you will get \[\frac{37}{35}\]

  3. Cutiepo0
    • 4 years ago
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    Oh! Okay... and you get 1/6 because 6^-1 = 1/6, right?

  4. anonymous
    • 4 years ago
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    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. anonymous
    • 4 years ago
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    yes that is right \[6^{-1}=\frac{1}{6}\]

  6. Cutiepo0
    • 4 years ago
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    THanks :)

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