Hi there!
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I believe your answer is:
[tex]y^\frac{2}{3}[/tex]
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Here’s why:
- We are supposed to rewrite a radical expression as an expression with fraction exponents.
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The rule for a fraction exponent is:
[tex]a^{\frac{x}{y}}=\sqrt[y]{a^x}\\\\\\\huge\boxed{\frac{\text{Power}}{\text{Root}}}[/tex]
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We are given the expression of [tex]\sqrt[3]{y^2}[/tex].
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[tex]\boxed{\text{Rewriting the expression:}}\\\\\sqrt[3]{y^2}\\\\\text{The '3' is the root and the '2' is the power.}\\\\\rightarrow \sqrt[3]{y^2} \\\\\rightarrow {y^{\frac{2}{3}}[/tex]
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[tex]\text{The answer should be: } \boxed{y^\frac{2}{3} }[/tex]
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Hope this helps you. I apologize if it’s incorrect.
