$\text{Thu gọn các đơn thức sau:}$
`a)` `-1/3 x^2 y. 3/2 xy^3`
`b)` `-5xy^4 . (-0,2x^2 y^2)`
`c)` `(-2x^2 y).(5x^3 y^3)`
`d)` `(-1 1/2 x^2 y^3)^2`
$\text{Thu gọn các đơn thức sau:}$
`a)` `-1/3 x^2 y. 3/2 xy^3`
`b)` `-5xy^4 . (-0,2x^2 y^2)`
`c)` `(-2x^2 y).(5x^3 y^3)`
`d)` `(-1 1/2 x^2 y^3)^2`
`a)-1/3 x^2y. 3/2xy^3=(-1)/3 . 3/2 .(x^2.x).(y.y^3)=-1/2 x^3y^4`
`b)-5xy^4.(-0,2x^2y^2)=[(-5).(-0,2)].(x.x^2).(y^4.y^2)=x^3.y^6`
`c)(-2x^2y).(5x^3y^3)=[(-2).5].(x^2.x^3).(y.y^3)=-10x^5.y^4`
`d)(-1 1/2x^2y^3)^2=[(-3)/2x^2y^3]^2=(-3/2)^2.(x^2)^2.(y^3)^2=9/4x^4y^6`
Giải thích các bước giải:
`a,-1/3x^2y.3/2xy^3`
`=-x^2y.1/2xy^3`
`=-1/2x^3y^4`
`b,-5xy^4.(-0,2x^2y^2)`
`=(-5.-0,2)(x.x^2)(y4.y^2)`
`=x^3y^6`
`c,(-2x^2y).(5x^3y^3)`
`=(-2.5)(x^2x^3)(y.y^3)`
`=-10x^5y^4`
`d,(-1(1/2)x^2y^3)^2`
`=(-3/2x^2y^3)^2`
`=9/4x^4y^6`