Which expression is equivalent to $$ \sqrt[4]{7} $$ ? $$ 4^{\frac{1}{7}} 4^{7} $$ $$ 7^{\frac{1}{4}} $$ $$ 7^{4} $$

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To determine which expression is equivalent to $$ \sqrt[4]{7} $$, we can rewrite $$ \sqrt[4]{7} $$ in exponential form. The fourth root of a number can be expressed as that number raised to the power of $$ \frac{1}{4} $$:

$$
\sqrt[4]{7} = 7^{\frac{1}{4}}
$$

Now, let's analyze the options provided:

1. $$ 4^{\frac{1}{7}} 4^{7} $$: This expression does not simplify to $$ \sqrt[4]{7} $$.
2. $$ 7^{\frac{1}{4}} $$: This is exactly the same as $$ \sqrt[4]{7} $$.
3. $$ 7^{4} $$: This expression is not equivalent to $$ \sqrt[4]{7} $$.

Thus, the expression that is equivalent to $$ \sqrt[4]{7} $$ is:

$$
\boxed{7^{\frac{1}{4}}}
$$
The expression equivalent to $$ \sqrt[4]{7} $$ is $$ 7^{\frac{1}{4}} $$.

Which expression is equivalent to ?

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