# Evaluate i to the power of 3.

'i' also known as 'iota' is defined as the square root of negative 1. It is used to represent a complex number.

## Answer: The value of i to the power of 3 is equal to i^{3} = i.

Let's look into the steps below

**Explanation: **

We know that the value of 'i' iota is the square root of negative 1.

It is represented as, i = √-1

Let's cube on both the sides

⇒ i^{3} = (√-1)^{3}

⇒ i^{3} = √-1 × √-1 × √-1

⇒ i^{3} = √(-1) × (-1) × (-1)

⇒ i^{3} = √-1

⇒ i^{3} = i [Since, i = √−1]

Alternate Approach:

Using Product Law of rules of exponents,

a^{m} × a^{n} = a^{m + n}

Thus, i^{3} can be represented as,

i^{3} = i^{2} × i

⇒ i^{3} = 1 × i [Since, i to the power of 2 = 1]

⇒ i^{3} = i