Answer:
2
Step-by-step explanation:
[tex]4^{\frac{1}{2}}=4^{\frac{1*2}{2*2}}=4^{\frac{2}{4}}\\\\a^{m}*a^{n}= a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\[/tex]
[tex](\frac{4^{\frac{5}{4}}*4^{\frac{1}{4}}}{4^{\frac{1}{2}}})^{\frac{1}{2}}=(\frac{4^{\frac{5}{4}}*4^{\frac{1}{4}}}{4^{\frac{2}{4}}})^{\frac{1}{2}}\\\\\\=(4^[{\frac{5}{4}+\frac{1}{4}-\frac{2}{4}}])^{\frac{1}{2}}\\\\\\=(4^{\frac{5+1-2}{4}})^{\frac{1}{2}}\\\\\\=(4^{\frac{4}{4}})^{\frac{1}{2}}\\\\=(4^{1})^{\frac{1}{2}}\\\\=4^{\frac{1}{2}}\\\\=\sqrt{4} \\\\\\=2[/tex]
