a) Ta có: \(A=1\dfrac{1}{4}\cdot x^3y\cdot\left(-\dfrac{6}{7}xy^5\right)^0\cdot\left(-2\dfrac{2}{3}xy\right)\)

\(=\dfrac{5}{4}x^3y\cdot\dfrac{-8}{3}xy\)

\(=\left(\dfrac{5}{4}\cdot\dfrac{-8}{3}\right)\cdot\left(x^3\cdot x\right)\cdot\left(y\cdot y\right)\)

\(=\dfrac{-10}{3}x^4y^2\)

\(A=-\dfrac{5}{8}x^5y^4\left(-\dfrac{3}{2}x^2yz^3\right)=\dfrac{15}{16}x^7y^5z^3\)

hệ số 15/16 ; biến x^7y^5z^3 ; bậc 15 

\(A=\left[\dfrac{5}{8}.\left(-1\right).\dfrac{-3}{2}\right].\left(x^3.x^2.x^2\right).\left(y^2.y^2.y\right).z^3\)

\(A=\dfrac{15}{16}x^7y^5z^3\)

Hệ số là: \(\dfrac{15}{16}\)

Phần biến là: \(x^7y^5z^3\)

Bậc của đơn thức là: 7+5+3 = 15

a, \(A=\dfrac{1}{4}x^4y^3z^2\)

b, bậc 9 

\(A=\left(-\dfrac{2}{3}x^3y^4\right)^2.\left(-3x^5y^2\right)^3\)

\(A=\left(\dfrac{4}{9}x^6y^8\right).\left(-27x^{15}y^6\right)\)

\(A=\left(\dfrac{4}{9}.-27\right)\left(x^6.x^{15}\right)\left(y^8.y^{16}\right)\)

\(A=-12x^{21}y^{24}\)

\(\text{Hệ số:-12}\)

\(\text{Bậc:45}\)

\(B=\left(3x^2y\right).\left(-\dfrac{1}{3}x^3y\right).\left(-\dfrac{1}{4}x^3y^4\right)\)

\(B=\left(3.-\dfrac{1}{3}.-\dfrac{1}{4}\right).\left(x^2.x^3.x^3\right).\left(y.y.y^4\right)\)

\(B=\dfrac{1}{4}x^8y^6\)

\(\text{Hệ số:}\dfrac{1}{4}\)

\(\text{Bậc:14}\)

\(A=x^3.\left(-\dfrac{5}{4}x^2y\right).\left(\dfrac{2}{5}x^3y^4\right).\\ A=-\dfrac{1}{2}x^8y^5.\)

- Bậc: 8.

- Hệ số: \(-\dfrac{1}{2}.\)

- Biến: \(x;y.\)

\(B=\left(-\dfrac{3}{4}x^5y^4\right).\left(xy^2\right).\left(-\dfrac{8}{9}x^2y^3\right).\\ B=\dfrac{2}{3}x^8y^9.\)

- Bậc: 9.

- Hệ số: \(\dfrac{2}{3}.\)

- Biến: \(x;y.\)

\(=-\dfrac{2}{5}.\dfrac{5}{4}.x^2.x^5.x^2.y^6.y^8=-\dfrac{1}{2}x^9y^{14}\)

Bậc của đa thức là: \(9+14=23\)

Hệ số là: \(-\dfrac{1}{2}\)

`( xy^3 )^2 . ( -2 / 5 x^5 ) . ( 5 / 4 x^2 y^8 )`

`= ( x^2 y^6 ) . ( -2 / 5 x^5 ) . ( 5 / 4 x^2 y^8 )`

`= ( -2 / 5 . 5 / 4 ) ( x^2 . x^5 . x^2 ) ( y^6 . y^ 8 )`

`= -1 / 2 x^9 y^14`

      `@` Bậc: `9 + 14 = 23`

      `@` Hệ số: `-1 / 2`

\(\left(xy^3\right)^2.\left(\dfrac{-2}{5}x^5\right).\left(\dfrac{5}{4}x^2y^8\right)\)

\(=\left(x^2y^6\right).\left(\dfrac{-2}{5}x^5\right).\left(\dfrac{5}{4}x^2y^8\right)\)

\(=\left(x^2.x^5.x^2\right).\left(y^6.y^8\right).\left(\dfrac{-2}{5}.\dfrac{5}{4}\right)\)

\(=x^9.y^{14}.\dfrac{-1}{2}\)

\(\text{Bậc là:23}\)

\(\text{Hệ số:}\dfrac{-1}{2}\)

Chọn C

Ta có (-5) x3y2z.2/3 xyz4

= (-5).2/3 (x3x) (y2y) (zz4)

= -10/3 x4y3z5.

\(A=\dfrac{2}{5}x^7y^3\)

Hệ số: \(\dfrac{2}{5}\)

Bậc: 10

Bài 7 

\(-3y\left(x^2y^2\right)\left(-x^3y^9\right)=3x^5y^{12}\)

hệ sô : 3 ; biến x^5y^12 ; bậc 17