Question

Write with fractional exponents.

Answer 1

Hi there!  

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I believe your answer is:  

$y^\frac{2}{3}$

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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:

$a^{\frac{x}{y}}=\sqrt[y]{a^x}\\\\\\\huge\boxed{\frac{\text{Power}}{\text{Root}}}$

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We are given the expression of $\sqrt[3]{y^2}$.

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$\boxed{\text{Rewriting the expression:}}\\\\\sqrt[3]{y^2}\\\\\text{The '3' is the root and the '2' is the power.}\\\\\rightarrow \sqrt[3]{y^2} \\\\\rightarrow {y^{\frac{2}{3}}$

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$\text{The answer should be: } \boxed{y^\frac{2}{3} }$

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Hope this helps you. I apologize if it’s incorrect.