Thu gọn các đơn thức sau:
a) $-\frac{1}{3}x^2y.\frac{3}{2}xy^3$
b) $-5xy^4.(-0.2x^2y^2)$
c) $(-2x^2y).(5x^3y^3)$
d) $(-1\frac{1}{2}x^2y^3)^2$
Thu gọn các đơn thức sau:
a) $-\frac{1}{3}x^2y.\frac{3}{2}xy^3$
b) $-5xy^4.(-0.2x^2y^2)$
c) $(-2x^2y).(5x^3y^3)$
d) $(-1\frac{1}{2}x^2y^3)^2$
Đáp án:+Giải thích các bước giải:
`a)`
`-1/3 x^2y3/2xy^3`
`=-1/3 . 3/2 . x^2 . x . y . y^3`
`=(-1.3)/(3.2) . x^(2+1) . y^(1+3)`
`=-1/2 . x^3 . y^4`
`b)`
`-5xy^4 .(-0,2x^2y^2)`
`=-5.(-0,2) .xy^4 . x^2.y^2`
`=1.x.x^2.y^4.y^2`
`=1.x^(1+2) .y^(4+2)`
`=1.x^3 . y^6`
`=x^3 .y^6`
`c)`
`(-2x^2 y).(5x^3 .y^3)`
`=-2.5.x^2.x^3.y.y^3`
`=(-2.5).x^(2+3).y^(1+3)`
`=-10.x^5.y^4`
`d)`
`(-1 1/2 x^2 y^3)^2`
`=(-3/2 x^2y^3)^2`
`=(-3/2)^2 (x^2)^2 (y^3)^2`
`=9/4 x^4 y^6`
a,
`-1/3x^2y. 3/2xy^3=(-1/3 . 3/2).(x^2 .x).(y.y^3)=-1/2x^3y^4`
b,
`-5xy^4 .(-0,2x^2y^2)=-5xy^4 .(-1/5x^2y^2)=(-5 .(-1)/5).(x.x^2).(y^4 .y^2)=x^3y^6`
c,
`(-2x^2y).(5x^3y^3)=(-2.5).(x^2 .x^3).(y.y^3)=-10x^5y^4`
d,
`(-1 1/2x^2y^3)^2=(-3/2x^2y^3)=9/4x^4y^6`