Answer:
[tex]\sqrt[7]{y}[/tex]
Step-by-step explanation:
The rule for a fraction as an exponet is:
[tex]a^{\frac{b}{c}}=\sqrt[c]{x^b}[/tex]
Apply the rule to the expression given:
[tex]y^{\frac{1}{7}}=\boxed{\sqrt[7]{y}}[/tex]
Hope this helps you.
The equivalent radical expression for the given expression [tex]y^{\frac{1}{7} }[/tex] is [tex]\sqrt[7]{y}[/tex].
The rule for a faction as an exponent is
[tex]x^{\frac{a}{b} } = \sqrt[b]{x^{a} }[/tex]
Radical expressions are said to be equivalent when they have the same radical index and the same radicand and given the same value.
According to the given question.
We have an expression
[tex]y^{\frac{1}{7} }[/tex]
Therefore, the equivalent radical expression for the given expression is
[tex]y^{\frac{1}{7} } = \sqrt[7]{y^{1} }[/tex]
[tex]\implies y^{\frac{1}{7} } = \sqrt[7]{y}[/tex] ( by the rule of a fraction as an dexponent)
Hence, the equivalent radical expression for the given expression [tex]y^{\frac{1}{7} }[/tex] is [tex]\sqrt[7]{y}[/tex].
Find out the more information about rule for a fraction as an exponent and equivalent radical expression here:
https://brainly.com/question/12252377
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