指數化簡問題

2007-08-07 4:31 pm
化簡以下題目:
(xy^-1)/[(x^-2)+(y^-2)]

回答 (2)

2007-08-07 4:58 pm
✔ 最佳答案
(xy^-1) / [(x^-2)+(y^-2)]
= (x/y) / (1/x^2 + 1/y^2)
= (x/y) / [(x^2 + y^2) / x^2y^2 ]
= x^3y^2 / [y (x^2 + y^2)]
= x^3y / (x^2 + y^2)
2007-08-09 2:12 am
(xy^-1)/[(x^-2)+(y^-2)]
=(x/y)/(1/x^2+1/y^2)
=(x/y)/[(x^2+y^2)/x^2 y^2]
=x * (x^2/y^2)/(y * (x^2+y^2))
=x^3 y/(x^2+y^2)


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