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Math Help - Indices Question

  1. #1
    Junior Member PythagorasNeophyte's Avatar
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    Indices Question

    A very good day to everyone. I have a perplexing question here:

    13^-1 = 0.076923. Without using a calculator, express 6 as a percentage of 26 to 3 places after the decimal.

    I know that 13^-1 can be morphed into \dfrac{1}{13}, but how can it be applied to solve this question?

    Any help is appreciated. Thank you so much!
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  2. #2
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    Divide 1 by 13.
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  3. #3
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    Quote Originally Posted by PythagorasNeophyte View Post
    A very good day to everyone. I have a perplexing question here:

    13^-1 = 0.076923. Without using a calculator, express 6 as a percentage of 26 to 3 places after the decimal.

    I know that 13^-1 can be morphed into \dfrac{1}{13}, but how can it be applied to solve this question?

    Any help is appreciated. Thank you so much!
    Prove It told you how to get 13^{-1}. If you mean "Given that 13^{-1}= 0.076923, express 6 as a percentage of 26", recall that \frac{6}{26}= \frac{3}{13}= 3(13^{-1}). Just multiply 3 and 0.076923.
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