Maths Question ask by junior secondary student

2008-03-24 7:27 am
If x^(-n)*y^(-n)=z^(-n),
x,y and n are both nature number,
can z be nature number?

回答 (2)

2008-03-24 10:10 pm
✔ 最佳答案
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
2008-03-24 7:33 am
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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