Let's calculate some powers of **i**:

Note that the results repeat from 4 to 4. Then we can write:

Therefore, to calculate powers of **i**, just divide the exponent of **i** per **4** and just consider** i** raised to the rest of this division.

**Examples**

Let's calculate some powers of **i**:

Note that the results repeat from 4 to 4. Then we can write:

Therefore, to calculate powers of **i**, just divide the exponent of **i** per **4** and just consider** i** raised to the rest of this division.

**Examples**