Respuesta :

DeanR

It would help to have the question. But I'll guess


[tex]\sqrt[4]{x^{\frac 3 5}}{\sqrt{x^2}} = ((x^{\frac 3 5})^{\frac 1 4}) }{ x} = x^{\frac 3{20}} x = x \sqrt[20]{x^3}[/tex]


2nd choice.


I forgot the explanation because I was so glad to have puzzled out the question.

The fourth root is the same as the 1/4 th power.   

If we know x is positive [tex]\sqrt{x^2}=|x|=x[/tex]

[tex]\sqrt[4]{x^{\frac 3 5}}{\sqrt{x^2}}[/tex]

[tex] = ((x^{\frac 3 5})^{\frac 1 4}) }{ x}[/tex]

We multiply the powers: [tex](a^b)^c=a^{bc}[/tex]

[tex]= x^{\frac 3{20}} x[/tex]

The one-twentieth power is the twentieth root.  We bring the additional factor of x to the front.

[tex]= x \sqrt[20]{x^3}[/tex]

Answer:the answer is A. ^20 sqrt x^7

Step-by-step explanation:

Just took the test