Answer:
[tex]\large\boxed{x^\frac{3}{4}x^\frac{1}{2}=\sqrt[4]{x^5}}[/tex]
Step-by-step explanation:
[tex]\sqrt[n]{a^m}=a^{\frac{m}{n}}\\======================\\\\x^\frac{3}{4}x^\frac{1}{2}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{\frac{3}{4}+\frac{1}{2}}=x^{\frac{3}{4}+\frac{1\cdot2}{2\cdot2}}=x^{\frac{3}{4}+\frac{2}{4}}=x^{\frac{5}{4}}=\sqrt[4]{x^5}[/tex]
