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计算：(1)(y^3/x)^2*(-x/2y^2)^5(2)(xy^2/-z)^4*(z^2/xy)^3÷(xz/-y)^5
题目详情
计算：(1)(y^3/x)^2*(-x/2y^2)^5(2)(xy^2/-z)^4*(z^2/xy)^3÷(xz/-y)^5
▼优质解答
答案和解析
(1)(y^3/x)^2*(-x/2y^2)^5
=-y^6/x^2*x^5/32y^10
=- x^3/32y^4
(2)(xy^2/-z)^4*(z^2/xy)^3÷(xz/-y)^5
=-x^4y^8/z^4*z^6/(x^3y^3)÷(x^5z^5/y^5)
=-xy^5/z^2÷(x^5z^5/y^5)
=-y^10/(x^4*z^7)
=-y^6/x^2*x^5/32y^10
=- x^3/32y^4
(2)(xy^2/-z)^4*(z^2/xy)^3÷(xz/-y)^5
=-x^4y^8/z^4*z^6/(x^3y^3)÷(x^5z^5/y^5)
=-xy^5/z^2÷(x^5z^5/y^5)
=-y^10/(x^4*z^7)
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