指數數學題

2008-05-24 8:45 pm
我想要過程,為何會多了xy
(x^-1 - y^-1)^-1

答案是:xy/y-x

thank you^^

回答 (2)

2008-05-24 9:18 pm
✔ 最佳答案
(x^-1-y^-1)^-1

首先入面要轉換成分數

然後通分母

得出(x-y)/xy

然後因為負一次方, 所以分子分母掉轉

=[(1/x)-(1/y)]^-1

=[(x-y)/xy]^-1

=1/[(x-y)/xy]

=xy/x-y
2008-05-24 8:54 pm
(x^-1-y^-1)^-1
=[(1/x)-(1/y)]^-1
=[(x-y)/xy]^-1
=1/[(x-y)/xy]
=xy/x-y

Hope i can help you.


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