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\(\frac{1}{2}xy^4z^3\cdot\left(-\frac{1}{5}x^2y\right)^2\cdot\left(-z\right)^5\)
\(=\left[\frac{1}{2}\cdot\left(-\frac{1}{5}\right)\cdot1\right]\left(x\cdot x^4\right)\left(y^4y^2\right)\left[z^3\cdot\left(-z\right)^5\right]\)
\(=\frac{1}{10}x^5y^6z^8\)
b) x2yz * ( 2xy )2z
= x2yz * 4 x2y2z
= 4 ( x2 * x2 ) ( y * y2 ) ( z * z )
= 4x4y3z2
a. \(\frac{2}{3}\)xy2z.(-3x2y)2
= (\(\frac{2}{3}\). 2 . (-3) . 2 )( xx )(yy)z
= (-8)x2y2z
Mẫu Bài Trước Bài Sau tương tự
Lời giải:
1.
\((-2x^4y^3z^7)^2(\frac{1}{4}xy^5)(-3x^2yz)^3(\frac{-1}{27}x^3yz^2)\)
\(=(4x^8y^6z^{14})(\frac{1}{4}xy^5)(-27x^6y^3z^3)(-\frac{1}{27}x^3yz^2)\)
\(=(4.\frac{1}{4}.-27.\frac{-1}{27})(x^8.x.x^6.x^3)(y^6.y^5.y^3.y)(z^{14}.z^3.z^2)\)
\(=x^{18}.y^{15}.z^{19}\)
2.
\(=(\frac{-1}{3}.\frac{4}{5}.\frac{-27}{10})(x.x^5.x^2)(y^2.y^6.y)(z.z.z^4)\)
\(=\frac{18}{25}.x^8.y^9.z^6\)
3.
\(=(49.x^{10}y^2z^4)(\frac{-1}{4}.x^3yz^7)(\frac{8}{21}x^5z^4)\)
\(=(49.\frac{-1}{4}.\frac{8}{21})(x^{10}.x^3.x^5)(y^2.y)(z^4.z^7.z^4)\)
\(=\frac{-14}{3}.x^{18}.y^3.z^{15}\)
4.
\(=(\frac{-1}{64}.x^8.y^9.z^{12})(4x^2y^2z^4)(\frac{-5}{3}x^4yz)\)
\(=(\frac{-1}{64}.4.\frac{-5}{3})(x^8.x^2.x^4)(y^9.y^2.y)(z^{12}.z^4.z)\)
\(=\frac{5}{48}.x^{14}.y^{12}.z^{17}\)
5.
\(=(\frac{1}{16}.x^8.y^4z^2)(-8xyz^2).(-\frac{1}{2}x^4yz)\)
\(=(\frac{1}{16}.-8.\frac{-1}{2})(x^8.x.x^4)(y^4.y.y)(z^2.z^2.z)\)
\(=\frac{1}{4}.x^{13}.y^6.z^5\)
Ko ghi đề nha!
*+ \(=\left[2.\left(\dfrac{-1}{2}\right)\right]\left(a^3b.a^2b\right)\)
\(=-a^5b^2\) Bậc là 5+2=7
+ \(=\left(2^3.\dfrac{1}{2}\right)\left(xyz.x^2yx^3\right)\)
\(=4x^3y^2z^4\) Bậc là 3+2+4=9
* a) \(=\left(-7.\dfrac{3}{7}\right)\left(x^2yz.xy^2z^3\right)\)
\(=-3x^3y^3z^4\) Bậc là 3+3+4=10
b) \(=\left[\dfrac{1}{4}.\dfrac{2}{3}.\left(\dfrac{-4}{5}\right)\right]\left(xy^2x^2y^2yz^3\right)\)
\(=\dfrac{-2}{15}x^3y^5z^3\) Bậc là 3+5+3=11
Chào người bạn cũ
a)
\(\left(-\frac{1}{3}xy\right)\left(3x^2yz^2\right)=\left(-\frac{1}{3}\right).x.y.3.x^2.y.z^2=\left(-\frac{1}{3}.3\right).\left(x.x^2\right).\left(y.y\right).z^2=-x^3.y^2.z\)
b) \(\left(-2x^2+y\right)\left(x-y^2\right)=-2x^2.x+2x^2y^2+xy-y^3=-2x^3+2x^2y^2+xy-y^3\)
A= \(\left(5x^3y^2z^3\right)^2=25x^6y^4z^6.\)
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