Respuesta :
The radical expression is 5 times the fourth root of x .
What is a radical expression?
- 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
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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
