The radical expression of [tex]a^{\dfrac{5}{7}[/tex] will be [tex]\sqrt[7]{a^5}[/tex] so correct answer is option a.
The complete question is as follows
Which of the following is the radical expression of a5/7 options are:-
a) [tex]\sqrt[7]{a^5}[/tex]
b)[tex]\sqrt[5]{a^7}[/tex]
c)[tex]\sqrt[3]{a^5}[/tex]
d)[tex]\sqrt[6]{a^7}[/tex]
Equations with a radical sign around the unknown value are also referred to as irrational equations. Equations with a radical sign around the unknown value are also referred to as irrational equations.
For this case, we have to define power properties by:
[tex]a^{\dfrac{1}{2}[/tex] = [tex]\sqrt{a^1}[/tex]
So, if we have:
[tex]a^{\dfrac{5}{7} }= \sqrt[7]{a^5}[/tex]
For the property of powers mentioned above, we can write it as:
Therefore the radical expression [tex]a^{\dfrac{5}{7}[/tex] will be [tex]\sqrt[7]{a^5}[/tex]
To know more about radical equations follow
https://brainly.com/question/8606917
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