This is the trigonometric form of a complex number where is the modulus and is the angle created on the complex plane.

The modulus of a complex number is the distance from the origin on the complex plane.

where

Substitute the actual values of and .

Simplify the expression.

Apply the product rule to .

Raise to the power of .

Rewrite as .

Use to rewrite as .

Apply the power rule and multiply exponents, .

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Evaluate the exponent.

Simplify the expression.

Multiply by .

Raise to the power of .

Add and .

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.

Since inverse tangent of produces an angle in the first quadrant, the value of the angle is .

Substitute the values of and .

Convert to Trigonometric Form 3+3 square root of 3i