Find the root. Assume that all variables represent nonnegative real numbers. $$ \sqrt[5]{x^{30}} $$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The root is not a real number. B.

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We begin with the expression
$$
\sqrt[5]{x^{30}}.
$$
Recall that taking the fifth root of a number is equivalent to raising it to the power of $$ \frac{1}{5} $$. Thus, we have
$$
\sqrt[5]{x^{30}} = \left( x^{30} \right)^{\frac{1}{5}}.
$$
By using the exponent rule $$\left(a^m\right)^n = a^{mn}$$, we get:
$$
\left( x^{30} \right)^{\frac{1}{5}} = x^{30 \times \frac{1}{5}} = x^6.
$$
Since $$x$$ is assumed to be a nonnegative real number, the expression $$x^6$$ is also a nonnegative real number.

Thus, the correct choice is (if option B indicates $$x^6$$):
$$
\boxed{x^6}.
$$
The root is $$x^6$$.

Find the root. Assume that all variables represent nonnegative real numbers. \( \sqrt[5]{x^{30}} \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The root is not a real number. B.

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