Answer:
![x^(3) y^(2) \sqrt[3]{xy^(2) }](https://img.qammunity.org/2020/formulas/mathematics/middle-school/2sjc1oxvock8ds5qhd7vhkjo0keygb8e6u.png)
Explanation:
Step 1: Evaluate the powers
equals 1.
Step 2:---
Any expression multiplied by one stays the same. So This -->
becomes this --->
![\sqrt[3]{(x^(5)y^(4))^(2) }](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xosc641lhgjhjstaodmcg3vn58dn47uxk7.png)
To raise a product to a power, raise each factor to that power.
So this --->
becomes this
![\sqrt[3]{x^(10) y^(8) }](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5cqn8f57irxx7y84jqlhgli9ehq5wn04ia.png)
Step 3: Simplify root
Then we simplify the radical.
![{x^(3)y^(2)\sqrt[3]{xy^(2) } \sqrt[3]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ckw0weprhfhzxfoj3cp59h1nf4jpe80euu.png)