Answer:
The required property of exponent is power of a product property, i.e., [tex](ab)^n=a^nb^n[/tex].
Step-by-step explanation:
The given expression is
[tex](xy^2)^{\frac{1}{3}}[/tex]
To simplify this expression the first property of exponents which is used , is the power of a product property.
According to the power of a product property of exponents
[tex](ab)^n=a^nb^n[/tex]
Using this property the given expression can be written as
[tex](xy^2)^{\frac{1}{3}}=x^{\frac{1}{3}}(y^2)^{\frac{1}{3}}[/tex]
Therefore the required property of exponent is power of a product property, i.e., [tex](ab)^n=a^nb^n[/tex].
