# What is the value of the expression i^{0} × i^{1} × i^{2} × i^{3} × i^{4}?

We will use the concept of complex numbers to find the value of the expression.

## Answer: - 1

Let us see how we will use the concept of complex numbers to find the value of the expression.

**Explanation:**

Anything to the power of 0 is always 1, so i^{0} = 1

Look at a few powers of i.

- i
^{1}= i - i
^{2}= -1 - i
^{3}= -i - i
^{4}= 1

i^{0} × i^{1} × i^{2} × i^{3} × i^{4 }= 1 × i × (- 1) × (- i) × 1 = i^{2} = - 1