c933103 asked in 科學及數學數學 · 1 decade ago

Maths Question ask by junior secondary student

If x^(-n)*y^(-n)=z^(-n),

x,y and n are both nature number,

can z be nature number?

2 Answers

Rating
  • 1 decade ago
    Favorite Answer

    Choose x = y = z = 1,

    L.H.S = 1 = R.H.S.

    Theredore, if x,y and n are both nature number,

    z can be nature number

    2008-03-24 14:12:47 補充:

    any real number(inculding natrue number) n satisfy the above proof

  • hlyung
    Lv 7
    1 decade ago

    x^(-n)*y^(-n)=z^(-n)

    (xy)^n=z^n

    xy=z

    if x,y and n are natural number, then z is also a natural number

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