Question

\\\sqrt{x} \cdot \sqrt4{x} =\\

Explanation:

⚡ Using what you learned: Integer and Rational Exponents

Step 1: Convert radicals to rational exponents

$$ \sqrt{x} \cdot \sqrt[4]{x} = x^{\frac{1}{2}} \cdot x^{\frac{1}{4}} $$

Step 2: Add the exponents

$$ x^{\frac{1}{2} + \frac{1}{4}} = x^{\frac{2}{4} + \frac{1}{4}} = x^{\frac{3}{4}} $$

Step 3: Convert back to radical form

$$ x^{\frac{3}{4}} = \sqrt[4]{x^3} $$

Answer:

$$ \sqrt[4]{x^3} \text{ or } x^{\frac{3}{4}} $$