Which expression is equivalent to $$ 15^{\frac{1}{6}} $$ ? $$ \begin{array}{l}\frac{\sqrt{15}}{6} \ \sqrt{15} \ \sqrt[6]{15} \ \sqrt{15^{6}}\end{array} $$

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The expression that is equivalent to $$ 15^{\frac{1}{6}} $$ is $$ \sqrt[6]{15} $$.

Here's why:

- $$ 15^{\frac{1}{6}} $$ means the sixth root of 15.
- $$ \frac{\sqrt{15}}{6} $$ is not equivalent because it suggests taking the square root of 15 and then dividing by 6, which is not the same as finding the sixth root.
- $$ \sqrt{15} $$ is the square root of 15, which is not the same as the sixth root.
- $$ \sqrt{15^{6}} $$ is the square root of $$ 15^6 $$, which simplifies to $$ 15^3 $$, not the same as $$ 15^{\frac{1}{6}} $$.

Therefore, $$ \sqrt[6]{15} $$ is the correct equivalent expression.
The equivalent expression is $$ \sqrt[6]{15} $$.

Which expression is equivalent to ?

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