Question

a) x⁴: xⁿ

b) xⁿ: x⁵

c) ( 3x⁴y³+ 1/2x³y²+ x⁵y) : 4xⁿyⁿ

Answer 1

a. x⁴ : xⁿ = x^{4 - n}

b. xⁿ : x⁵ = x^{n - 5}

c. \(\left(3x^4y^3+\dfrac{1}{2}x^3y^2+x^5y\right):4x^ny^n\)

= \(3x^4y^3:4x^ny^n+\dfrac{1}{2}x^3y^2:4x^ny^n+x^5y:4x^ny^n\)

= \(\dfrac{3}{4}x^{4-n}y^{3-n}+\dfrac{1}{8}x^{3-n}y^{2-n}+\dfrac{1}{4}x^{5-n}y^{1-n}\)

Answer 2

a: \(x^4:x^n=x^{4-n}\)

b: \(x^n:x^5=x^{n-5}\)