Which statement best captures the product rule for n^th roots?

The n^th root of $a$ divided by the n^th root of $b$ equals the n^th root of $\frac{a}{b}$ for integers $a$ and $b$.

The n^th root of $ab$ equals the product of the n^th roots of $a$ and $b$ only when $a$ equals $b$.

The product of the n^th roots of $a$ and $b$ equals the n^th root of $ab$.

The sum of the n^th roots of $a$ and $b$ equals the n^th root of $(a+b)$ when $a$ and $b$ are perfect n^th powers.