# Convert to Trigonometric Form (two minus two i) to the power of two

Should be rewritten as .

Use the distributive law.

Apply the distributive property.

Apply the distributive property.

Clarify each term.

First, First, multiply by .

Multiply by .

Multiply by .

Multiply .

Multiply by .

Raise to the power of .

Raise to the power of .

Apply the power rule to Add exponents.

Add and .

Rewrite as .

Multiply by .

Subtract from .

Subtract from .

Subtract from .

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 .

Raise to the power of .

Rewrite as .

Withdraw terms 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 the argument is undefined and is negative, the angle of the point on the complex plane is .

Substitute the values of and .

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