Question

Write with fractional exponents.

Answer 1

Hi there!

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I believe your answer is:

`y^(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^{(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^{(2)/(3)}`

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`\text{The answer should be: } \boxed{y^(2)/(3) }`

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