How can I simplify e^(2n ln sin(pi/3))?

[tamtam402]

Homework Statement

Simplify e^(2n ln sin(pi/3))

Homework Equations

The Attempt at a Solution

I know that I can simplify to the form e^ln sin(π/3)^2n but I'm stuck there.
I can't see how I could end up with the answer (3/4)^n, which is supposed to be the right answer.

 

[tamtam402]

Nevermind I'm a dumbass. Sin(pi/3) = sqrt(3)/2