Answer
$\sqrt[4]{x^3}$
Work Step by Step
Using the definition of rational exponents which is given by $a^{\frac{m}{n}}=\sqrt[n]{a^m}=\left(\sqrt[n]{a}\right)^m,$ the given expression is equivalent to
\begin{array}{l}\require{cancel}
\sqrt[4]{x}\sqrt{x}
\\\\=
x^{1/4}\cdot x^{1/2}
.\end{array}
Using the Product Rule of the laws of exponents which is given by $x^m\cdot x^n=x^{m+n},$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
x^{1/4}\cdot x^{1/2}
\\\\=
x^{\frac{1}{4}+\frac{1}{2}}
\\\\=
x^{\frac{1}{4}+\frac{2}{4}}
\\\\=
x^{\frac{3}{4}}
.\end{array}
Using the definition of rational exponents which is given by $a^{\frac{m}{n}}=\sqrt[n]{a^m}=\left(\sqrt[n]{a}\right)^m,$ the given expression is equivalent to
\begin{array}{l}\require{cancel}
x^{\frac{3}{4}}
\\\\=
\sqrt[4]{x^3}
.\end{array}
