Simplify $\frac{\sqrt{x\left(x^{2 n+1}\right)}}{\sqrt[3]{x^{3 n}}}, x> 0$
Combine the exponents in the numerator and simplify: \(\boxed{x}\)
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: \(\boxed{x}\)