# Find the value of i^{-1}?

We’ll find the value i^{-1 }by using by the value of i^{2} = -1

## Answer: The value of i^{-1 }= -i

Let see, how we can find the value of i^{-1 }by using i^{2} = -1

**Explanation:**

We have to find the value of i^{-1}.

i^{-1} can be expressed as 1 / i.

Now we have to multiply numerator and denominator by i, and we get

1 / i × i / i = i / i^{2}

As we know that, i^{2} = -1

Substituting i^{2} = -1 in above equation and we get

i / i^{2} = i /(-1)

= -i

### Thus, the value of i^{-1 }= -i

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