Given
[tex]\sqrt[]{x}\cdot\sqrt[4]{x}[/tex]
So, we have that
[tex]\begin{gathered} \sqrt[]{x}=x^{\frac{1}{2}} \\ \sqrt[4]{x}=x^{\frac{1}{4}} \end{gathered}[/tex]
Therefore, the expression given is
[tex]x^{\frac{1}{2}}\cdot x^{\frac{1}{4}}[/tex]
Apply the laws of exponents
[tex]x^{\frac{1}{2}+\frac{1}{4}}=x^{\frac{3}{4}}[/tex]
Answer:
[tex]x^{\frac{3}{4}}[/tex]
