Respuesta :

Answer:

[tex]\sqrt{x}[/tex]

Step-by-step explanation:

apply the inverse properties of logarithmic and exponential functions to simplify  

[tex]e^{lnx^\frac{1}{2}[/tex]

Inverse property of log says that

[tex]e^{ln(x)=x[/tex]

we apply this property in our problem. ln has same base 'e' . so ln and e gets cancelled

[tex]e^{lnx^\frac{1}{2}[/tex]

[tex]x^\frac{1}{2}[/tex]

[tex]\sqrt{x}[/tex]