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Popular >

expand e^{-iln(sqrt(3))}

Solution

expand

e^{- i l n (3)}

Solution

3^{- \frac{i}{2}}

Solution steps

e^{- i l n (3)}

Simplify

ln (3) : \frac{1}{2} ln (3)

= e^{- i \frac{1}{2} l n (3)}

Multiply

- i \frac{1}{2} ln (3) : - \frac{i}{2} ln (3)

= e^{- \frac{i}{2} l n (3)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

= (e^{l n (3)})^{- \frac{i}{2}}

Apply log rule:

a^{l o g_{a} (b)} = b

e^{l n (3)} = 3

= 3^{- \frac{i}{2}}

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Frequently Asked Questions (FAQ)

What is expand e^{-iln(sqrt(3))} ?
The solution to expand e^{-iln(sqrt(3))} is 3^{-i/2}