计算:y×(y/x)^3÷[-(x^2)/y]^-2

题目

计算:y×(y/x)^3÷[-(x^2)/y]^-2

答案

y×(y/x)^3÷[-(x^2)/y]^-2
=y×y^3/x^3÷[-y/(x^2)]^2
=y^(1+3)/x^3÷[y/x^2]^2
=y^4/x^3÷[y^2/x^4]
=y^4/x^3*x^4/y^2
=y^(4-2)*x^(4-3)
=xy