$\"\"$

\

The complex number is $\"\"$ .

\

To apply DeMoivre $\"\"$ s theorem, the complex number has trigonometric form.

\

So the complex number change into trigonometric form.

\

The complex number is $\"\"$ .

\

The trigonometric form of complex number $\"\"$ is $\"\"$ . $\"\"$

\

The absolute value (modulus) of $\"\"$ is $\"\"$ .

\

The absolute value (modulus) of $\"\"$ is $\"\"$ .

\

The reference angle $\"\"$ is given by $\"\"$ .

\

The value of $\"\"$ and the complex number $\"\"$ lies in quadrant I ( $\"\"$ ).

\

So, the angle is $\"\"$ .

\

The trigonometric form of complex number $\"\"$ is $\"\"$ . $\"\"$

\

$\"\"$ (Write original complex number)

\

$\"\"$ (Write trigonometric form of complex number)

\

$\"\"$ (Apply DeMoivre $\"\"$ s theorem:

\

$\"\"$ )

\

$\"\"$ (Simplify)

\

$\"\"$ (Substitute $\"\"$ )

\

$\"\"$ (Simplify) $\"\"$

\

The solution is $\"\"$ .