Answer: [tex]x^{3} y^{2} \sqrt[3]{xy^{2} }[/tex]
Step-by-step explanation:
Step 1: Evaluate the powers
[tex]z^{0}[/tex] equals 1.
Step 2:---
Any expression multiplied by one stays the same. So This --> [tex]\sqrt[3]{(x^{5}y^{4}1)^{2} }[/tex] becomes this --->[tex]\sqrt[3]{(x^{5}y^{4})^{2} }[/tex]
To raise a product to a power, raise each factor to that power.
So this --->[tex]\sqrt[3]{(x^{5}y^{4})^{2} }[/tex] becomes this [tex]\sqrt[3]{x^{10} y^{8} }[/tex]
Step 3: Simplify root
Then we simplify the radical.
[tex]{x^{3}y^{2}\sqrt[3]{xy^{2} } \sqrt[3][/tex]
