$\"\"$

The DeMoivres Theorem : if $\"\"$ , then $\"\"$

The complex number is $\"\"$ .

First convert the complex number into trigonometric form.

The trigonometric form is $\"\"$ .

Let, $\"\"$ .

Compare the complex number with a + ib.

a = 4 and b = $\"\"$ .

$\"\"$

a = 4 > 0 so, the angle is :

$\"\"$

The trigonometric form of $\"\"$ . $\"\"$

$\"\"$ = $\"\"$

$\"\"$ \ \

Therefore, $\"\"$ $\"\"$ . $\"\"$

The given statement is false.