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QUESTION IMAGE

\\(10n)^{\\frac{3}{2}}\\

Question

\\(10n)^{\frac{3}{2}}\\

Explanation:

⚡ Using what you learned: Integer and Rational Exponents

Step 1: Convert to radical form

$$ (10n)^{\frac{3}{2}} = \sqrt{(10n)^3} $$

Step 2: Simplify the expression

$$ \sqrt{(10n)^3} = \sqrt{1000n^3} = 10n\sqrt{10n} $$

Answer:

$$ (\sqrt{10n})^3 \text{ or } 10n\sqrt{10n} $$