Question

Answer 1

a: \(20x^2y^3:\left(-4xy^2\right)\)

\(=\left(-\frac{20}{4}\right)\cdot\frac{x^2}{x}\cdot\frac{y^3}{y^2}=-5xy\)

b: \(-\frac12x^4y^4:\frac23x^2y^2\)

\(=\left(-\frac12:\frac23\right)\cdot\frac{x^4}{x^2}\cdot\frac{y^4}{y^2}\)

\(=-\frac34x^2y^2\)

c: \(\left(-xy\right)^6:\left(-xy\right)^3=\left(-xy\right)^{6-3}=\left(-xy\right)^3=-x^3y^3\)

d: \(\left(x+y\right)^2:\left(x+y\right)=\left(x+y\right)^{2-1}=x+y\)

e: \(\left(x-y\right)^5:\left(y-x\right)^4\)

\(=\left(x-y\right)^5:\left(x-y\right)^4\)

\(=\left(x-y\right)^{5-4}=x-y\)

g: \(\left(x-y+z\right)^4:\left(x-y+z\right)^3=\left(x-y+z\right)^{4-3}=x-y+z\)