What is exponencial(1/2+i(sqrt(3))/2) ?

The solution to exponencial(1/2+i(sqrt(3))/2) is (e^2cln^2ixpoa(sqrt(3)i+1))/2

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simplify exponencial(1/2+i(sqrt(3))/2)

simplify

e x p o n e n c ia l (\frac{1}{2} + i \frac{3}{2})

\frac{e ^{2} c l n ^{2} i x p o a ( 3 i + 1 )}{2}

Solution steps

e x p o n e n c ia l (\frac{1}{2} + i \frac{3}{2})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

ee = e^{1 + 1}

= x p o n e^{1 + 1} n c ia l (\frac{1}{2} + i \frac{3}{2})

Add the numbers:

1 + 1 = 2

= x p o n e^{2} n c ia l (\frac{1}{2} + i \frac{3}{2})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

nn = n^{1 + 1}

= x p o e^{2} n^{1 + 1} c ia l (\frac{1}{2} + i \frac{3}{2})

Add the numbers:

1 + 1 = 2

= x p o e^{2} n^{2} c ia l (\frac{1}{2} + i \frac{3}{2})

Multiply

i \frac{3}{2} : \frac{3 i}{2}

= e^{2} c l n^{2} i x p o a (\frac{3 i}{2} + \frac{1}{2})

Combine the fractions

\frac{1}{2} + \frac{3 i}{2} : \frac{1 + 3 i}{2}

= e^{2} c l n^{2} i (\frac{3 i + 1}{2}) x p o a

Remove parentheses:

(a) = a

= x p o e^{2} n^{2} c ia l \frac{1 + 3 i}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 1 + 3 i ) x p o e ^{2} n ^{2} c ia l}{2}

(1.11 \cdot 1 0^{- 6}) 12

\frac{( x + 2 ) ^{3}}{( x + 5 ) ^{3}}

2 m E 1 - \frac{V + x}{E}

1.9 \cdot e^{- 0.4}

(2.82 \cdot 1 0^{- 19}) \cdot (6.022 \cdot 1 0^{23})

What is exponencial(1/2+i(sqrt(3))/2) ?
The solution to exponencial(1/2+i(sqrt(3))/2) is (e^2cln^2ixpoa(sqrt(3)i+1))/2