Question

高一数学题，求过程和答案

Answer 1

(3y/x)^(1/3) . (3x^2/y)^(1/2)
=3^(1/3+1/2) .x^(-1/3+1) . y^(1/3-1/2)
=3^(5/6) . x^(2/3) . y^(1/6)

追问

错了

追答

(3y/x)^(1/3) . (3x^2/y)^(1/2)
=3^(1/3+1/2) .x^(-1/3+1) . y^(1/3-1/2)
=3^(5/6) . x^(2/3) . y^(-1/6)

Answer 2

3√(3y/x)*√(3x²/y)
=3√[(3y/x)*(3x²/y)
=3√(9x)
=9√x