## Potentiation

Being and **no** an integer greater than **1**we have:

Like this:

This formula is known as **Moivre's 1st Formula**.

**Example**

Calculate :

Let's consider for later we calculate . To apply Moivre's 1st formula, we need to calculate the modulus and the argument of **z**.

**Module:**

**Argument:**

Calculating :

## Rooting

If , its nth roots are given by:

This expression is known as **Moivre's 2nd Formula**.

**Example**

Determine the cubic roots of **z = 8**.

*Resolution*

Let's calculate the modulus and the argument of **z** for the application of the 2nd Moivre formula:

**Module:**

**Argument:**

The cubic roots of **8** are given by:

The number **k** can assume the values **0**, **1** and **2**:

Geometrically, note that the three roots are over a radius circumference. **2** and are vertices of an equilateral triangle; his arguments form a **PAN**, whose first term is 0 and the **reason** é.