What is ((sqrt(3))/2-i/2)^{100} ?

The solution to ((sqrt(3))/2-i/2)^{100} is ((sqrt(3)-i)^{100})/(2^{100)}

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simplify ((sqrt(3))/2-i/2)^{100}

simplify

(\frac{3}{2} - \frac{i}{2})^{100}

\frac{( 3 - i ) ^{100}}{2 ^{100}}

Solution steps

(\frac{3}{2} - \frac{i}{2})^{100}

Combine the fractions

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

= (\frac{3 - i}{2})^{100}

Apply exponent rule:

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

= \frac{( 3 - i ) ^{100}}{2 ^{100}}

\frac{147 m ^{5} n ^{7}}{441 z ^{6}}

(3.3) (4.5)

i^{107}

\frac{1}{12} + \frac{1}{18}

\frac{sec ( θ )}{sin ( θ )} - \frac{sin ( θ )}{cos ( θ )}

What is ((sqrt(3))/2-i/2)^{100} ?
The solution to ((sqrt(3))/2-i/2)^{100} is ((sqrt(3)-i)^{100})/(2^{100)}