Question

select the correct answer. use the power of a product property to answer the question. which expression equals ((7y)^{\frac{1}{3}})?

Explanation:

Step1: Apply power of product rule

Recall the power of a product property: $(ab)^n = a^n b^n$. For $(7y)^{\frac{1}{3}}$, apply this rule:
$$(7y)^{\frac{1}{3}} = 7^{\frac{1}{3}}y^{\frac{1}{3}}$$

Step2: Rewrite the expression

Note that $7^{\frac{1}{3}}$ can be written as $\sqrt[3]{7}$, but in the given options, it is presented as $7^{\frac{1}{3}}y^{\frac{1}{3}}$.

Answer:

$\boldsymbol{7^{\frac{1}{3}}y^{\frac{1}{3}}}$ (corresponding to the option: $7^{\frac{1}{3}}y^{\frac{1}{3}}$)