What is ((1+sqrt(3)i)/2)^{165} ?

The solution to ((1+sqrt(3)i)/2)^{165} is ((1+sqrt(3)i)^{165})/(2^{165)}

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simplify ((1+sqrt(3)i)/2)^{165}

simplify

(\frac{1 + 3 i}{2})^{165}

\frac{( 1 + 3 i ) ^{165}}{2 ^{165}}

Solution steps

(\frac{1 + 3 i}{2})^{165}

Apply exponent rule:

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

= \frac{( 1 + 3 i ) ^{165}}{2 ^{165}}

\frac{10}{3} + 2

\frac{10}{3} - 4

- \frac{2}{5} - \frac{2}{5}

4 x^{6} y^{12} - 108

2 \frac{1}{4} \cdot 3

What is ((1+sqrt(3)i)/2)^{165} ?
The solution to ((1+sqrt(3)i)/2)^{165} is ((1+sqrt(3)i)^{165})/(2^{165)}