Answer:
The required property of exponent is power of a product property, i.e., \((ab)^n=a^nb^n\).
Step-by-step explanation:
The given expression is
\((xy^2)^{\frac{1}{3}}\)
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
\((ab)^n=a^nb^n\)
Using this property the given expression can be written as
\((xy^2)^{\frac{1}{3}}=x^{\frac{1}{3}}(y^2)^{\frac{1}{3}}\)
Therefore the required property of exponent is power of a product property, i.e., \((ab)^n=a^nb^n\).
