Rewrite the rational exponent as a radical by extending the properties of integers exponents.
2^3/4 / 2^1/2

[tex]\frac{2 ^{\frac{3}{4}} }{2^\frac{1}{2}}=2 ^{\frac{3}{4}-\frac{1}{2}}=2 ^{\frac{3}{4}-\frac{2}{4}}=2 ^{\frac{1}{4} }=\sqrt[4]{2}[/tex]