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question rewrite \\(\\sqrt3{w^5}\\) with a rational exponent. provide y…

Question

question

rewrite \\(\sqrt3{w^5}\\) with a rational exponent.

provide your answer below:

Explanation:

Identify the given radical expression

$$ \sqrt[3]{w^5} $$

Apply the radical to exponent conversion rule

$$ \sqrt[n]{x^m} = x^{\frac{m}{n}} $$

Substitute the given values into the conversion formula

$$ \sqrt[3]{w^5} = w^{\frac{5}{3}} $$

Answer:

Rewrite \(\sqrt[3]{w^5}\) with a rational exponent.

Provide your answer below:
<blank>\(w^{\frac{5}{3}}\)</blank>