Question

Which property of exponents must be used first to solve this expression? (xy^2)^1/3

Answer 1

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., $(ab)^n=a^nb^n$.

Answer 2

(ab)n=anbn......................................