Thu gọn các đơn thức sau:
a,\(\dfrac{-1}{6}\)x\(^3\)y\(^2\)z.(\(\dfrac{-2}{3}\)xy)\(^3\)
b,(-2xy\(^2\)).(3xyz)\(^2\).\(\dfrac{2}{5}\)xyz
c,-3xz\(^2\).\(\dfrac{1}{3}\)y\(^2\)z
d,2x\(^3\)y.[ -3.x.(-y)]\(^2\)
e,\(\dfrac{1}{2}\)yz\(^2\).(\(\dfrac{-5}{4}\)x\(^2\)y\(^2\)z)
f,(-2xy)\(^3\).xz\(^3\)
g,xy\(^2\).(4x\(^2\)z\(^3\)).\(\dfrac{1}{2}\)x.(\(\dfrac{-2}{5}\)x)\(^2\)
giúp em với ạ,em cần GẤP lắm ạ
`a,` `-1/6x^3y^2z . (-2/3xy)^3`
`=` `-1/6x^3y^2z . (-8)/27x^3y^3`
`= (``-1/6 . (-8)/27``) . (``x^3 . x^3``) . (``y^2 . y^3``) . z`
`= 4/81x^6y^5z`
`b,` `(-2xy^2) .` `(3xyz)^2 . 2/5xyz`
`= -2xy^2 .` `9x^2y^2z^2 . 2/5xyz`
`= (-2` `. 9 .` `2/5) .` `(x .` `x^2 . x``) . (``y^2 . y^2` `. y)` `. (z^2` `. z)`
`= -36/5x^4y^5z^3`
`c,` `-3xz^2 . 1/3y^2z`
`= (``-3 .` `1/3) .` `x . y^2` `. (z^2` `. z)`
`= -xy^2z^3`
`d,` `2x^3y . [-3x(-y)]^2`
`=` `2x^3y . 9x^2y^2`
`= (2` `. 9)` `. (x^3` `. x^2)` `. (y` `. y^2)`
`= 18x^5y^3`
`e,` `1/2yz^2 . (-5/4x^2y^2z)`
`= (1/2` `. (-5)/4``) .` `x^2 . (``y . y^2``) . (z^2` `. z)`
`= -5/8x^2y^3z^3`
`f,` `(-2xy)^3 . xz^3`
`=` `-8x^3y^3 . xz^3`
`= -8 .` `(x^3 .` `x) .` `y^3 . z^3`
`= -8x^4y^3z^3`
`g, xy^2` `. (4x^2z^3) .` `1/2x . (-2/5x)^2`
`= xy^2` `. 4x^2z^3 .` `1/2x . 4/25x^2`
`= (``4 .` `1/2 . 4/25``) . (``x . x^2` `. x .` `x^2) .` `y^2 . z^3`
`= 1/50x^6y^2z^3`
