Question

Rewrite the radical expression as an expression with rational exponents.

fourth root of x to the power of 5

4x5
5x4
x to the five fourths power
x to the four fifths power

Answer 1

The fourth root of \( x^5 \) can be rewritten using rational exponents as follows:

\[
\sqrt[4]{x^5} = x^{\frac{5}{4}}
\]

Thus, the correct expression with rational exponents is:

\[
x^{\frac{5}{4}}
\]

So the correct answer is:

**\( x \) to the five-fourths power**.