Respuesta :

Answer:

The choices which are equivalent to the given expression is:

             [tex]A.\ \ (x^5)^{\frac{1}{4}}[/tex]

             [tex]C.\ \ (\sqrt[4]{x})^5[/tex]

             [tex]F.\ \ \sqrt[4]{x^5}[/tex]

Step-by-step explanation:

We are given a expression in terms of the variable x as:

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

Now, we know that any general expression of the form:

[tex]x^{\frac{m}{n}}[/tex] could also be represented by:

[tex](x^m)^{\frac{1}{n}}[/tex] or [tex](x^{\frac{1}{n}})^m[/tex] or [tex]\sqrt[n]{x^m}[/tex] or [tex](\sqrt[n]{x})^m[/tex]

Here in this expression we have:

[tex]m=5\ and\ n=4[/tex]

               Hence, the equivalent expressions are:

                   Option: A , Option: C and Option: F

Answer:

A , C , F

Step-by-step explanation:

A P E X

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