Answer:
Option A
Step-by-step explanation:
Given expression is [tex]\sqrt[3]{56x^7y^5}[/tex].
[tex]\sqrt[3]{56x^7y^5}=(56x^7y^5)^{\frac{1}{3}}[/tex]
[tex]=[(2)^3(7)(x^2)^3(x)(y)^3(y)^2]^{\frac{1}{3}}[/tex]
[tex]=[(2)^{\frac{3}{3} }(7)^{\frac{1}{3} }(x^2)^{\frac{3}{3} }(x)^{\frac{1}{3}}(y)^{\frac{3}{3} }(y)^{\frac{2}{3} }][/tex]
[tex]=3x^2y[(7)^{\frac{1}{3}}(x)^{\frac{1}{3}}(y^2)^{\frac{1}{3}}][/tex]
[tex]=3x^2y\sqrt[3]{7xy^2}[/tex]
Option A is the correct option.
