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

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To simplify e^(2n ln sin(pi/3)), the expression can be rewritten as e^(ln(sin(pi/3)^(2n))). Recognizing that sin(pi/3) equals sqrt(3)/2, the expression simplifies further to e^(ln((sqrt(3)/2)^(2n))). This leads to the final simplification of (3/4)^n. The confusion arose from not initially substituting the value of sin(pi/3). The correct simplification process ultimately yields the expected result.
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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.
 
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Nevermind I'm a dumbass. Sin(pi/3) = sqrt(3)/2
 

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