Simplify Expressions...2

Discussion in 'Basic Math' started by nycmathguy, Apr 1, 2022.

  1. nycmathguy

    nycmathguy

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    A review of basic mathematics.

    IMG_20220401_134301.jpg

    IMG_20220401_134314.jpg
     
    nycmathguy, Apr 1, 2022
    #1
  2. nycmathguy

    MathLover1

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    correct

    just curious, how did you conclude that (3^-2)^-1=3^2?
     
    MathLover1, Apr 1, 2022
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  3. nycmathguy

    EmptySetBlues

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    All correct. You're keeping track of all the roots, not just positive ones just because they're the most commonly used. You never know when that will trip you up while solving a problem, which is why it's always a mistake when handing in homework!
     
    EmptySetBlues, Apr 1, 2022
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  4. nycmathguy

    nycmathguy

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    I uses the exponent rule (a^b)^c = a^(b•c).

    So, (3^-2)^-1 = 3^(-2•-1) = 3^(2) = 9.
     
    nycmathguy, Apr 1, 2022
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  5. nycmathguy

    nycmathguy

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    This is just a review of the basics. Questions will get increasingly harder as the weeks go by.
     
    nycmathguy, Apr 1, 2022
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  6. nycmathguy

    HallsofIvy

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    NO! \(\sqrt{25}= 5\), \(\sqrt{36}= 6\), \(\sqrt{16}= 4\), and \(\sqrt{9}= 3\).

    While it is true that \((-4)^2= 4^2= 16\), in order that the square root, over the real numbers be a function, \(\sqrt{n}\) is defined as the positive root.
     
    HallsofIvy, Apr 2, 2022
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