Problem

Simplify $\frac{\sqrt{x\left(x^{2 n+1}\right)}}{\sqrt[3]{x^{3 n}}}, x> 0$

Answer

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Answer

Combine the exponents in the numerator and simplify: \(\boxed{x}\)

Steps

Step 1 :Rewrite the expression using exponents: \(\frac{x^{\frac{1}{2}}x^{\frac{2n+1}{2}}}{x^{n}}\)

Step 2 :Combine the exponents in the numerator and simplify: \(\boxed{x}\)

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