Which expression is equivalent to $$ \sqrt[6]{k} $$ ? $$ \frac{k}{6} k^{\frac{1}{6}} $$ $$ \frac{6}{k} k^{6} $$

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To find the expression that is equivalent to $$ \sqrt[6]{k} $$, we need to simplify the given expressions and compare them with the square root expression.

1. $$ \frac{k}{6} k^{\frac{1}{6}} $$
2. $$ \frac{6}{k} k^{6} $$

Let's simplify each expression:

1. $$ \frac{k}{6} k^{\frac{1}{6}} $$
   - Simplify $$ k^{\frac{1}{6}} $$ as $$ k^{\frac{1}{6}} = \sqrt[6]{k} $$
   - Substitute $$ \sqrt[6]{k} $$ back into the expression:
     $$ \frac{k}{6} \sqrt[6]{k} $$

2. $$ \frac{6}{k} k^{6} $$
   - Simplify $$ k^{6} $$ as $$ k^{6} = k^{\frac{6}{1}} = k^6 $$
   - Substitute $$ k^6 $$ back into the expression:
     $$ \frac{6}{k} k^6 $$

Now, let's compare the simplified expressions with $$ \sqrt[6]{k} $$:

1. $$ \frac{k}{6} \sqrt[6]{k} $$
2. $$ \frac{6}{k} k^6 $$

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

Which expression is equivalent to \( \sqrt[6]{k} \) ? \( \frac{k}{6} k^{\frac{1}{6}} \) \( \frac{6}{k} k^{6} \)

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