For this case we have a function of the form [tex]y = f (x).[/tex] Where:
[tex]f (x) = 3^x[/tex]
We must find the value of the function when [tex]x = \frac {1} {2}[/tex]
So, we have:
[tex]f (\frac {1} {2}) = 3 ^ {\frac {1} {2}}[/tex]
By definition we have to:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
Then, rewriting the expression:
[tex]\sqrt {3} = 1.73[/tex]
Answer:
[tex]3 ^ {\frac {1} {2}} = 1.73[/tex]