a) Ta có: \(5x\cdot\left(-2xy^2\right)\cdot3xyz^3\)
\(=\left(-2\cdot5\cdot3\right)\cdot\left(x\cdot x\cdot x\right)\cdot\left(y^2\cdot y\right)\cdot z^3\)
\(=-30x^3y^3z^3\)
Bậc là 9
b) Ta có: \(\left(-2x^2yz^3\right)^2\cdot\left(3x^3y^2z\right)^3\)
\(=4x^4y^2z^3\cdot27x^9y^6z^3\)
\(=108x^{13}y^8z^6\)
Bậc là 27
c) Ta có: \(\left(4xy^2x\right)^2\cdot\left(\dfrac{3}{4}x^2yz\right)^3\)
\(=16x^4y^4\cdot\dfrac{27}{64}x^6y^3z^3\)
\(=\dfrac{27}{4}x^{10}y^7z^3\)
Bậc là 20
d) Ta có: \(-\dfrac{1}{25}x\cdot\left(\dfrac{1}{3}x^2y\right)^2\cdot\left(\dfrac{5}{2}y^2\right)^2\)
\(=\dfrac{-1}{25}x\cdot\dfrac{1}{9}x^4y^2\cdot\dfrac{25}{4}y^4\)
\(=\dfrac{-1}{36}x^5y^6\)
Bậc là 11
e) Ta có: \(\left(-\dfrac{1}{2}x^3y\right)^2\cdot1\dfrac{1}{5}x^3y^3\cdot\left(\dfrac{-5}{3}xy^3\right)^2\)
\(=\dfrac{1}{4}x^6y^2\cdot\dfrac{6}{5}x^3y^3\cdot\dfrac{25}{9}x^2y^6\)
\(=\dfrac{5}{6}x^{11}y^{11}\)
Bậc là 22
f) Ta có: \(4abx^3\cdot\left(-\dfrac{1}{2}xy^2\right)^2\cdot\left(-ay\right)^2\)
\(=4abx^3\cdot\dfrac{1}{4}x^2y^4\cdot a^2y^2\)
\(=a^3b\cdot x^5y^6\)
Bậc là 11
