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15. write \\(\\sqrt3{x^2}\\) in index form answer: _______________

Question

  1. write \\(\sqrt3{x^2}\\) in index form

answer: _______________

Explanation:

Identify the radical expression

$$ \sqrt[3]{x^2} $$

Apply fractional exponent rule

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

Convert to index form

$$ \sqrt[3]{x^2} = x^{\frac{2}{3}} $$

Answer:

  1. Write \(\sqrt[3]{x^2}\) in index form

Answer: <blank>\(x^{\frac{2}{3}}\)</blank>