Mathematics: 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 4b.fourth root of the quantity 5 times xc. 5 times the square root of x to the power of 4 d.5 times the fourth root of x

I am also little bit confused!...

Rewrite the expression with rational exponents

kbows12

01.01.2022

Step-by-step explanation:

We need to understand the rule shown below to solve this:

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

The expression to change is $5*x^{\frac{1}{4}}$

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

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

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

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