Use positive exponents to rewrite the following expression. Assume that variables represent positive numbers. \[ \sqrt{x \cdot \sqrt[6]{x}} \] $\sqrt{x \cdot \sqrt[6]{x}}=$ (Use integers or fractions for any numbers in the expression.)

Step 1 ：Rewrite the expression using exponents: \(\sqrt{x \cdot \sqrt[6]{x}} = (x \cdot x^{1/6})^{1/2}\)

Step 2 ：Simplify the expression by applying the rules of exponents: \((x \cdot x^{1/6})^{1/2} = x^{1/2} \cdot x^{1/12}\)

Step 3 ：Combine terms with the same base by adding the exponents: \(x^{1/2} \cdot x^{1/12} = x^{1/2 + 1/12} = x^{7/12}\)

Step 4 ：Final Answer: \(\boxed{x^{7/12}}\)