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God
Lv 7
God fragte in Science & MathematicsMathematics · vor 4 Jahren

What is (0/0)^0?

0/0 is indeterminate, which means it can be any number. Since any number to the zero power is 1 does that mean that (0/0)^0 = 1?

4 Antworten

Relevanz
  • vor 4 Jahren
    Beste Antwort

    Huh...you'd think God would know the answer to this question.

    0/0 is indeterminate, which doesn't necessarily mean it can be equal to any number. It means exactly what it says; we cannot *determine* a value that is equal to 0/0. In order to fully appreciate what it means for a mathematical expression to be indeterminate, you have to get into limits and calculus, which I'm not going to do in this space, but check this out:

    http://www.cut-the-knot.org/blue/GhostCity.shtml

    Suffice it to say that 0/0 has no meaningful value, which means that operations upon it are meaningless. Unless we can assign a fixed value to 0/0, then (0/0)^0 is also meaningless.

    I hope that helps. Good luck!

  • vor 4 Jahren

    No.

    Some function of the form 0/0 are in fact 0.

    0^0 is indeterminate also so (0/0)^0 is indeterminate and not guaranteed to be 1.

  • DWRead
    Lv 7
    vor 4 Jahren

    0/0 is undefined, which means it is not a number at all.

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