The given number is
[tex]49^{\frac{5}{2}}[/tex]To express this number as a radical, we use the following property.
[tex]a^{\frac{b}{c}}=\sqrt[c]{a^b}[/tex]Using this property, we have.
[tex]49^{\frac{5}{2}}=\sqrt[2]{49^5}[/tex]Then, we solve the power.