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

To rewrite a radical using a fractional exponent, the power to which the radicand is raised becomes the numerator and the root becomes the denominator.
Any radical in the form can be written using a fractional exponent in the form .

We need to understand the rule shown below to solve this

[tex]\sqrt[n]{x^{b} } = x^{\frac{b}{n} }[/tex]

The expression to change is [tex]5 * x ^{\frac{1}{4} }[/tex]

The second part can be written as (using the rule) [tex]x^{\frac{1}{4} } = \sqrt[4]{x^{1} } = \sqrt[4]{x}[/tex]

And since 5 is a coefficient multiplied, we simply have [tex]5 * \sqrt[4]{x}[/tex]

Which is "5 times the fourth root of x", D is the correct answer.

Learn more about radical expression

brainly.com/question/3796764

#SPJ4

The complete question is -

Rewrite the expression with rational exponents as a radical expression. 5 times x to the one fourth power

A. square root of the quantity 5 times x to the power of 4

B.fourth root of the quantity 5 times x

C. 5 times the square root of x to the power of 4

D.5 times the fourth root of x