Question

which expression is equivalent to 3567?y5 , if x+ 0 and y? 0? O A 212y7oy? OB. 814704y? oc. &rly Try? OD. 244y287 Reset Next

Answer 1

The starting expression is

`\sqrt[3]{56x^7y^5}`

Then,

`\begin{gathered} \sqrt[3]{56x^7y^5} \\ =\sqrt[3]{(7)\cdot(8)x^6\cdot x\cdot y^3\cdot y^2} \\ =\sqrt[3]{(7)\cdot(2)^3x^6\cdot x\cdot y^3\cdot y^2} \\ =2\cdot x^2\cdot y\sqrt[3]{7\cdot x\cdot y^2} \\ =2x^2y\sqrt[3]{7xy^2} \end{gathered}`

The last line is the answer, and it is the same as option A. Therefore option A is the answer.