Answer:
A is the answer.
Explanation:
We have
![\sqrt[3]{56 {x}^(7) {y}^(5) }](https://img.qammunity.org/2023/formulas/mathematics/college/928g9rxgnqp2kkf1edsl8k45un65gn87jo.png)
Factor the radical by taking perfect squares of the real numbers and the exponents.
56 can be made up of perfect 8, x^7 can be made up of x^6 and y^5 can be made up of y^3. So we get
![\sqrt[3]{8 {x}^(6) {y}^(3) * \sqrt{7xy {}^(2) } }](https://img.qammunity.org/2023/formulas/mathematics/college/xeujww06vjtsdcmu1ttn67ccvq2qc4z2jk.png)
Take the cube root of 8x^6y^3.
Which is 2x^2y.
![2 {x}^(2) y \sqrt[3]{7xy {}^(2) }](https://img.qammunity.org/2023/formulas/mathematics/college/pi1t9or72jp5ut8wilsj55p8xl71ten7yc.png)
A is the answer.