Explain x^(1)

Discussion in 'Algebra' started by nycmathguy, Dec 2, 2021.

  1. nycmathguy

    nycmathguy

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    Let x = any number.

    Why does x^(1) = x?
     
    nycmathguy, Dec 2, 2021
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  2. nycmathguy

    MathLover1

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    Why does x^(1) = x?

    do you know definition: If x is a positive number and n is its exponent (where x is the base and n is the exponent or power), then x^n means x is multiplied by itself n times.
     
    MathLover1, Dec 2, 2021
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    By this definition, is the following also true?
    Does this definition apply to terms as well?

    Samples:

    (x - 1)^1 = (x - 1)

    (6x^2)^(1) = (6x^2)

    [f(x)]^(1) = f(x)
     
    nycmathguy, Dec 2, 2021
    #3
  4. nycmathguy

    HallsofIvy

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    Yes, of course. x^1= x means anything, no matter how complicated, to the power 1 is itself.
     
    HallsofIvy, Dec 3, 2021
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  5. nycmathguy

    nycmathguy

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    No need to say "of course" in your reply. Of course, do you get how cocky it reads?
     
    nycmathguy, Dec 3, 2021
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  6. nycmathguy

    Country Boy

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    Do you not realize how elementary things like this are? This is basically grade school arithmetic.
     
    Country Boy, Dec 29, 2021
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  7. nycmathguy

    nycmathguy

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    No need to be cocky. It doesn't hurt to review the basics.
     
    nycmathguy, Dec 30, 2021
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