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化简（1）（-2x^1/4y^-1/3)(3x^1/2y^2/3)(2)(x^1/2-y^1/2)÷（x^1/4-y^1/4)
题目详情
化简（1）（-2x^1/4y^-1/3)(3x^1/2y^2/3)
(2)(x^1/2-y^1/2)÷（x^1/4-y^1/4)
(2)(x^1/2-y^1/2)÷（x^1/4-y^1/4)
▼优质解答
答案和解析
（1）（-2x^1/4y^-1/3)(3x^1/2y^2/3)
=(-2/3)x^(1/4-1/2)y^(-1/3-2/3)
=(-2/3)x^(-1/4y^(-1)
=-2/[3x^(1/4)y]
(2)(x^1/2-y^1/2)÷(x^1/4-y^1/4)
=(x^1/4+y^1/4)(x^1/4-y^1/4)/(x^1/4-y^1/4)
=x^1/4+y^1/4
=(-2/3)x^(1/4-1/2)y^(-1/3-2/3)
=(-2/3)x^(-1/4y^(-1)
=-2/[3x^(1/4)y]
(2)(x^1/2-y^1/2)÷(x^1/4-y^1/4)
=(x^1/4+y^1/4)(x^1/4-y^1/4)/(x^1/4-y^1/4)
=x^1/4+y^1/4
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