It appears that there was a typographical error in your request. Based on the context, it seems that you want to simplify the expression \( \frac{2\sqrt{x}}{\sqrt{x^9}} \).
Let's simplify this step by step:
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Start with the expression: \[ \frac{2\sqrt{x}}{\sqrt{x^9}} \]
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Simplify the denominator: \[ \sqrt{x^9} = x^{9/2} \]
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Rewrite the expression: \[ \frac{2\sqrt{x}}{x^{9/2}} \]
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Express \( \sqrt{x} \), which is \( x^{1/2} \): \[ = \frac{2x^{1/2}}{x^{9/2}} \]
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Subtract the exponents in the denominator: \[ = 2x^{1/2 - 9/2} = 2x^{-8/2} = 2x^{-4} \]
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Finally, rewrite \( x^{-4} \) in radical form: \[ = \frac{2}{x^4} \]
So, the simplest radical form of the expression \( \frac{2\sqrt{x}}{\sqrt{x^9}} \) is: \[ \frac{2}{x^4} \]
If this is not the expression you meant, please clarify, and I'll help you further!